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Finding the Third Proportional to 432,884 and 665,743

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Solution

The third proportional to 432,884 and 665,743 is: 1,023,862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,884 : 665,743 = 665,743 : x
  2. Step 2: Convert to fraction form
    432,884/665,743 = 665,743/x
  3. Step 3: Cross multiply
    432,884x = 665,743 × 665,743
  4. Step 4: Simplify right side
    432,884x = 443,213,742,049
  5. Step 5: Solve for x
    x = 443,213,742,049/432,884
  6. Step 6: Final answer
    x = 1,023,862.61

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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.