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Finding the Third Proportional to 325,289,242.50 and 495,560,844.50

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Solution

The third proportional to 325,289,242.50 and 495,560,844.50 is: 754,960,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,289,242.50 : 495,560,844.50 = 495,560,844.50 : x
  2. Step 2: Convert to fraction form
    325,289,242.50/495,560,844.50 = 495,560,844.50/x
  3. Step 3: Cross multiply
    325,289,242.50x = 495,560,844.50 × 495,560,844.50
  4. Step 4: Simplify right side
    325,289,242.50x = 245,580,550,601,553,184
  5. Step 5: Solve for x
    x = 245,580,550,601,553,184/325,289,242.50
  6. Step 6: Final answer
    x = 754,960,565.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.