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Finding the Third Proportional to 502,404 and 753,614

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Solution

The third proportional to 502,404 and 753,614 is: 1,130,433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,404 : 753,614 = 753,614 : x
  2. Step 2: Convert to fraction form
    502,404/753,614 = 753,614/x
  3. Step 3: Cross multiply
    502,404x = 753,614 × 753,614
  4. Step 4: Simplify right side
    502,404x = 567,934,060,996
  5. Step 5: Solve for x
    x = 567,934,060,996/502,404
  6. Step 6: Final answer
    x = 1,130,433.00

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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.