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Finding the Third Proportional to 535,839 and 738,142.50

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Solution

The third proportional to 535,839 and 738,142.50 is: 1,016,824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,839 : 738,142.50 = 738,142.50 : x
  2. Step 2: Convert to fraction form
    535,839/738,142.50 = 738,142.50/x
  3. Step 3: Cross multiply
    535,839x = 738,142.50 × 738,142.50
  4. Step 4: Simplify right side
    535,839x = 544,854,350,306.25
  5. Step 5: Solve for x
    x = 544,854,350,306.25/535,839
  6. Step 6: Final answer
    x = 1,016,824.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.