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Finding the Third Proportional to 377,974.13 and 585,244.69

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Solution

The third proportional to 377,974.13 and 585,244.69 is: 906,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,974.13 : 585,244.69 = 585,244.69 : x
  2. Step 2: Convert to fraction form
    377,974.13/585,244.69 = 585,244.69/x
  3. Step 3: Cross multiply
    377,974.13x = 585,244.69 × 585,244.69
  4. Step 4: Simplify right side
    377,974.13x = 342,511,344,246.97
  5. Step 5: Solve for x
    x = 342,511,344,246.97/377,974.13
  6. Step 6: Final answer
    x = 906,176.70

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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.