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Finding the Third Proportional to 632,170.13 and 944,515.13

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Solution

The third proportional to 632,170.13 and 944,515.13 is: 1,411,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,170.13 : 944,515.13 = 944,515.13 : x
  2. Step 2: Convert to fraction form
    632,170.13/944,515.13 = 944,515.13/x
  3. Step 3: Cross multiply
    632,170.13x = 944,515.13 × 944,515.13
  4. Step 4: Simplify right side
    632,170.13x = 892,108,821,353.77
  5. Step 5: Solve for x
    x = 892,108,821,353.77/632,170.13
  6. Step 6: Final answer
    x = 1,411,184.72

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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.