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Finding the Third Proportional to 429,138 and 630,568

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Solution

The third proportional to 429,138 and 630,568 is: 926,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,138 : 630,568 = 630,568 : x
  2. Step 2: Convert to fraction form
    429,138/630,568 = 630,568/x
  3. Step 3: Cross multiply
    429,138x = 630,568 × 630,568
  4. Step 4: Simplify right side
    429,138x = 397,616,002,624
  5. Step 5: Solve for x
    x = 397,616,002,624/429,138
  6. Step 6: Final answer
    x = 926,545.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.