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Finding the Third Proportional to 425,976 and 646,742

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Solution

The third proportional to 425,976 and 646,742 is: 981,922.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,976 : 646,742 = 646,742 : x
  2. Step 2: Convert to fraction form
    425,976/646,742 = 646,742/x
  3. Step 3: Cross multiply
    425,976x = 646,742 × 646,742
  4. Step 4: Simplify right side
    425,976x = 418,275,214,564
  5. Step 5: Solve for x
    x = 418,275,214,564/425,976
  6. Step 6: Final answer
    x = 981,922.02

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.