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Finding the Third Proportional to 432,584 and 672,150

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Solution

The third proportional to 432,584 and 672,150 is: 1,044,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,584 : 672,150 = 672,150 : x
  2. Step 2: Convert to fraction form
    432,584/672,150 = 672,150/x
  3. Step 3: Cross multiply
    432,584x = 672,150 × 672,150
  4. Step 4: Simplify right side
    432,584x = 451,785,622,500
  5. Step 5: Solve for x
    x = 451,785,622,500/432,584
  6. Step 6: Final answer
    x = 1,044,388.19

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