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Finding the Third Proportional to 290,552 and 632,568

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Solution

The third proportional to 290,552 and 632,568 is: 1,377,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,552 : 632,568 = 632,568 : x
  2. Step 2: Convert to fraction form
    290,552/632,568 = 632,568/x
  3. Step 3: Cross multiply
    290,552x = 632,568 × 632,568
  4. Step 4: Simplify right side
    290,552x = 400,142,274,624
  5. Step 5: Solve for x
    x = 400,142,274,624/290,552
  6. Step 6: Final answer
    x = 1,377,179.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.