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Finding the Third Proportional to 315,816,440.75 and 704,249,209.25

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Solution

The third proportional to 315,816,440.75 and 704,249,209.25 is: 1,570,427,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,816,440.75 : 704,249,209.25 = 704,249,209.25 : x
  2. Step 2: Convert to fraction form
    315,816,440.75/704,249,209.25 = 704,249,209.25/x
  3. Step 3: Cross multiply
    315,816,440.75x = 704,249,209.25 × 704,249,209.25
  4. Step 4: Simplify right side
    315,816,440.75x = 495,966,948,729,250,304
  5. Step 5: Solve for x
    x = 495,966,948,729,250,304/315,816,440.75
  6. Step 6: Final answer
    x = 1,570,427,896.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.