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Finding the Third Proportional to 432,357 and 687,027

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Solution

The third proportional to 432,357 and 687,027 is: 1,091,704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,357 : 687,027 = 687,027 : x
  2. Step 2: Convert to fraction form
    432,357/687,027 = 687,027/x
  3. Step 3: Cross multiply
    432,357x = 687,027 × 687,027
  4. Step 4: Simplify right side
    432,357x = 472,006,098,729
  5. Step 5: Solve for x
    x = 472,006,098,729/432,357
  6. Step 6: Final answer
    x = 1,091,704.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.