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Finding the Third Proportional to 432,876 and 665,731

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Solution

The third proportional to 432,876 and 665,731 is: 1,023,844.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,876 : 665,731 = 665,731 : x
  2. Step 2: Convert to fraction form
    432,876/665,731 = 665,731/x
  3. Step 3: Cross multiply
    432,876x = 665,731 × 665,731
  4. Step 4: Simplify right side
    432,876x = 443,197,764,361
  5. Step 5: Solve for x
    x = 443,197,764,361/432,876
  6. Step 6: Final answer
    x = 1,023,844.62

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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.