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Finding the Third Proportional to 581,761 and 853,489.50

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Solution

The third proportional to 581,761 and 853,489.50 is: 1,252,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,761 : 853,489.50 = 853,489.50 : x
  2. Step 2: Convert to fraction form
    581,761/853,489.50 = 853,489.50/x
  3. Step 3: Cross multiply
    581,761x = 853,489.50 × 853,489.50
  4. Step 4: Simplify right side
    581,761x = 728,444,326,610.25
  5. Step 5: Solve for x
    x = 728,444,326,610.25/581,761
  6. Step 6: Final answer
    x = 1,252,136.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.