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Finding the Third Proportional to 438,202.50 and 655,553

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Solution

The third proportional to 438,202.50 and 655,553 is: 980,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,202.50 : 655,553 = 655,553 : x
  2. Step 2: Convert to fraction form
    438,202.50/655,553 = 655,553/x
  3. Step 3: Cross multiply
    438,202.50x = 655,553 × 655,553
  4. Step 4: Simplify right side
    438,202.50x = 429,749,735,809
  5. Step 5: Solve for x
    x = 429,749,735,809/438,202.50
  6. Step 6: Final answer
    x = 980,710.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.