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Finding the Third Proportional to 432,610 and 667,059

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Solution

The third proportional to 432,610 and 667,059 is: 1,028,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,610 : 667,059 = 667,059 : x
  2. Step 2: Convert to fraction form
    432,610/667,059 = 667,059/x
  3. Step 3: Cross multiply
    432,610x = 667,059 × 667,059
  4. Step 4: Simplify right side
    432,610x = 444,967,709,481
  5. Step 5: Solve for x
    x = 444,967,709,481/432,610
  6. Step 6: Final answer
    x = 1,028,565.47

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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.