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Finding the Third Proportional to 587,717 and 872,935.50

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Solution

The third proportional to 587,717 and 872,935.50 is: 1,296,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,717 : 872,935.50 = 872,935.50 : x
  2. Step 2: Convert to fraction form
    587,717/872,935.50 = 872,935.50/x
  3. Step 3: Cross multiply
    587,717x = 872,935.50 × 872,935.50
  4. Step 4: Simplify right side
    587,717x = 762,016,387,160.25
  5. Step 5: Solve for x
    x = 762,016,387,160.25/587,717
  6. Step 6: Final answer
    x = 1,296,570.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.