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Finding the Third Proportional to 432,350 and 646,797

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Solution

The third proportional to 432,350 and 646,797 is: 967,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,350 : 646,797 = 646,797 : x
  2. Step 2: Convert to fraction form
    432,350/646,797 = 646,797/x
  3. Step 3: Cross multiply
    432,350x = 646,797 × 646,797
  4. Step 4: Simplify right side
    432,350x = 418,346,359,209
  5. Step 5: Solve for x
    x = 418,346,359,209/432,350
  6. Step 6: Final answer
    x = 967,610.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.