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Finding the Third Proportional to 390,651 and 587,016

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Solution

The third proportional to 390,651 and 587,016 is: 882,086.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,651 : 587,016 = 587,016 : x
  2. Step 2: Convert to fraction form
    390,651/587,016 = 587,016/x
  3. Step 3: Cross multiply
    390,651x = 587,016 × 587,016
  4. Step 4: Simplify right side
    390,651x = 344,587,784,256
  5. Step 5: Solve for x
    x = 344,587,784,256/390,651
  6. Step 6: Final answer
    x = 882,086.02

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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.