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Finding the Third Proportional to 361,624.50 and 787,537.13

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Solution

The third proportional to 361,624.50 and 787,537.13 is: 1,715,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,624.50 : 787,537.13 = 787,537.13 : x
  2. Step 2: Convert to fraction form
    361,624.50/787,537.13 = 787,537.13/x
  3. Step 3: Cross multiply
    361,624.50x = 787,537.13 × 787,537.13
  4. Step 4: Simplify right side
    361,624.50x = 620,214,723,253.27
  5. Step 5: Solve for x
    x = 620,214,723,253.27/361,624.50
  6. Step 6: Final answer
    x = 1,715,079.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.