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Finding the Third Proportional to 442,966 and 687,228

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Solution

The third proportional to 442,966 and 687,228 is: 1,066,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,966 : 687,228 = 687,228 : x
  2. Step 2: Convert to fraction form
    442,966/687,228 = 687,228/x
  3. Step 3: Cross multiply
    442,966x = 687,228 × 687,228
  4. Step 4: Simplify right side
    442,966x = 472,282,323,984
  5. Step 5: Solve for x
    x = 472,282,323,984/442,966
  6. Step 6: Final answer
    x = 1,066,181.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.