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Finding the Third Proportional to 587,716 and 872,934

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Solution

The third proportional to 587,716 and 872,934 is: 1,296,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,716 : 872,934 = 872,934 : x
  2. Step 2: Convert to fraction form
    587,716/872,934 = 872,934/x
  3. Step 3: Cross multiply
    587,716x = 872,934 × 872,934
  4. Step 4: Simplify right side
    587,716x = 762,013,768,356
  5. Step 5: Solve for x
    x = 762,013,768,356/587,716
  6. Step 6: Final answer
    x = 1,296,568.02

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Why These Related Problems?

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