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Finding the Third Proportional to 418,446 and 608,229

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Solution

The third proportional to 418,446 and 608,229 is: 884,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,446 : 608,229 = 608,229 : x
  2. Step 2: Convert to fraction form
    418,446/608,229 = 608,229/x
  3. Step 3: Cross multiply
    418,446x = 608,229 × 608,229
  4. Step 4: Simplify right side
    418,446x = 369,942,516,441
  5. Step 5: Solve for x
    x = 369,942,516,441/418,446
  6. Step 6: Final answer
    x = 884,086.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.