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Finding the Third Proportional to 447,174 and 676,539

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Solution

The third proportional to 447,174 and 676,539 is: 1,023,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,174 : 676,539 = 676,539 : x
  2. Step 2: Convert to fraction form
    447,174/676,539 = 676,539/x
  3. Step 3: Cross multiply
    447,174x = 676,539 × 676,539
  4. Step 4: Simplify right side
    447,174x = 457,705,018,521
  5. Step 5: Solve for x
    x = 457,705,018,521/447,174
  6. Step 6: Final answer
    x = 1,023,550.16

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Why These Related Problems?

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