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Finding the Third Proportional to 501,404 and 754,500

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Solution

The third proportional to 501,404 and 754,500 is: 1,135,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,404 : 754,500 = 754,500 : x
  2. Step 2: Convert to fraction form
    501,404/754,500 = 754,500/x
  3. Step 3: Cross multiply
    501,404x = 754,500 × 754,500
  4. Step 4: Simplify right side
    501,404x = 569,270,250,000
  5. Step 5: Solve for x
    x = 569,270,250,000/501,404
  6. Step 6: Final answer
    x = 1,135,352.43

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