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Finding the Third Proportional to 587,866.13 and 859,115.81

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Solution

The third proportional to 587,866.13 and 859,115.81 is: 1,255,523.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,866.13 : 859,115.81 = 859,115.81 : x
  2. Step 2: Convert to fraction form
    587,866.13/859,115.81 = 859,115.81/x
  3. Step 3: Cross multiply
    587,866.13x = 859,115.81 × 859,115.81
  4. Step 4: Simplify right side
    587,866.13x = 738,079,979,287.54
  5. Step 5: Solve for x
    x = 738,079,979,287.54/587,866.13
  6. Step 6: Final answer
    x = 1,255,523.92

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.