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Finding the Third Proportional to 581,737 and 853,451.50

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Solution

The third proportional to 581,737 and 853,451.50 is: 1,252,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,737 : 853,451.50 = 853,451.50 : x
  2. Step 2: Convert to fraction form
    581,737/853,451.50 = 853,451.50/x
  3. Step 3: Cross multiply
    581,737x = 853,451.50 × 853,451.50
  4. Step 4: Simplify right side
    581,737x = 728,379,462,852.25
  5. Step 5: Solve for x
    x = 728,379,462,852.25/581,737
  6. Step 6: Final answer
    x = 1,252,076.91

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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.