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Finding the Third Proportional to 432,864 and 665,712

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Solution

The third proportional to 432,864 and 665,712 is: 1,023,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,864 : 665,712 = 665,712 : x
  2. Step 2: Convert to fraction form
    432,864/665,712 = 665,712/x
  3. Step 3: Cross multiply
    432,864x = 665,712 × 665,712
  4. Step 4: Simplify right side
    432,864x = 443,172,466,944
  5. Step 5: Solve for x
    x = 443,172,466,944/432,864
  6. Step 6: Final answer
    x = 1,023,814.56

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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.