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Finding the Third Proportional to 447,468 and 691,308

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Solution

The third proportional to 447,468 and 691,308 is: 1,068,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,468 : 691,308 = 691,308 : x
  2. Step 2: Convert to fraction form
    447,468/691,308 = 691,308/x
  3. Step 3: Cross multiply
    447,468x = 691,308 × 691,308
  4. Step 4: Simplify right side
    447,468x = 477,906,750,864
  5. Step 5: Solve for x
    x = 477,906,750,864/447,468
  6. Step 6: Final answer
    x = 1,068,024.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.