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Finding the Third Proportional to 449,730 and 672,163

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Solution

The third proportional to 449,730 and 672,163 is: 1,004,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,730 : 672,163 = 672,163 : x
  2. Step 2: Convert to fraction form
    449,730/672,163 = 672,163/x
  3. Step 3: Cross multiply
    449,730x = 672,163 × 672,163
  4. Step 4: Simplify right side
    449,730x = 451,803,098,569
  5. Step 5: Solve for x
    x = 451,803,098,569/449,730
  6. Step 6: Final answer
    x = 1,004,609.65

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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.