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Finding the Third Proportional to 447,134 and 676,482

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Solution

The third proportional to 447,134 and 676,482 is: 1,023,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,134 : 676,482 = 676,482 : x
  2. Step 2: Convert to fraction form
    447,134/676,482 = 676,482/x
  3. Step 3: Cross multiply
    447,134x = 676,482 × 676,482
  4. Step 4: Simplify right side
    447,134x = 457,627,896,324
  5. Step 5: Solve for x
    x = 457,627,896,324/447,134
  6. Step 6: Final answer
    x = 1,023,469.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.