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Finding the Third Proportional to 283,904 and 625,414

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Solution

The third proportional to 283,904 and 625,414 is: 1,377,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,904 : 625,414 = 625,414 : x
  2. Step 2: Convert to fraction form
    283,904/625,414 = 625,414/x
  3. Step 3: Cross multiply
    283,904x = 625,414 × 625,414
  4. Step 4: Simplify right side
    283,904x = 391,142,671,396
  5. Step 5: Solve for x
    x = 391,142,671,396/283,904
  6. Step 6: Final answer
    x = 1,377,728.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.