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Finding the Third Proportional to 249,072.75 and 393,774.75

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Solution

The third proportional to 249,072.75 and 393,774.75 is: 622,543.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,072.75 : 393,774.75 = 393,774.75 : x
  2. Step 2: Convert to fraction form
    249,072.75/393,774.75 = 393,774.75/x
  3. Step 3: Cross multiply
    249,072.75x = 393,774.75 × 393,774.75
  4. Step 4: Simplify right side
    249,072.75x = 155,058,553,737.56
  5. Step 5: Solve for x
    x = 155,058,553,737.56/249,072.75
  6. Step 6: Final answer
    x = 622,543.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.