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Finding the Third Proportional to 449,728 and 672,160

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Solution

The third proportional to 449,728 and 672,160 is: 1,004,605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,728 : 672,160 = 672,160 : x
  2. Step 2: Convert to fraction form
    449,728/672,160 = 672,160/x
  3. Step 3: Cross multiply
    449,728x = 672,160 × 672,160
  4. Step 4: Simplify right side
    449,728x = 451,799,065,600
  5. Step 5: Solve for x
    x = 451,799,065,600/449,728
  6. Step 6: Final answer
    x = 1,004,605.15

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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.