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Finding the Third Proportional to 502,357.50 and 702,677.25

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Solution

The third proportional to 502,357.50 and 702,677.25 is: 982,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,357.50 : 702,677.25 = 702,677.25 : x
  2. Step 2: Convert to fraction form
    502,357.50/702,677.25 = 702,677.25/x
  3. Step 3: Cross multiply
    502,357.50x = 702,677.25 × 702,677.25
  4. Step 4: Simplify right side
    502,357.50x = 493,755,317,667.56
  5. Step 5: Solve for x
    x = 493,755,317,667.56/502,357.50
  6. Step 6: Final answer
    x = 982,876.37

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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.