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Finding the Third Proportional to 357,640.31 and 501,306.19

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Solution

The third proportional to 357,640.31 and 501,306.19 is: 702,683.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,640.31 : 501,306.19 = 501,306.19 : x
  2. Step 2: Convert to fraction form
    357,640.31/501,306.19 = 501,306.19/x
  3. Step 3: Cross multiply
    357,640.31x = 501,306.19 × 501,306.19
  4. Step 4: Simplify right side
    357,640.31x = 251,307,893,625.79
  5. Step 5: Solve for x
    x = 251,307,893,625.79/357,640.31
  6. Step 6: Final answer
    x = 702,683.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.