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Finding the Third Proportional to 432,582 and 672,147

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Solution

The third proportional to 432,582 and 672,147 is: 1,044,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,582 : 672,147 = 672,147 : x
  2. Step 2: Convert to fraction form
    432,582/672,147 = 672,147/x
  3. Step 3: Cross multiply
    432,582x = 672,147 × 672,147
  4. Step 4: Simplify right side
    432,582x = 451,781,589,609
  5. Step 5: Solve for x
    x = 451,781,589,609/432,582
  6. Step 6: Final answer
    x = 1,044,383.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.