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Finding the Third Proportional to 371,976 and 810,382.50

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Solution

The third proportional to 371,976 and 810,382.50 is: 1,765,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,976 : 810,382.50 = 810,382.50 : x
  2. Step 2: Convert to fraction form
    371,976/810,382.50 = 810,382.50/x
  3. Step 3: Cross multiply
    371,976x = 810,382.50 × 810,382.50
  4. Step 4: Simplify right side
    371,976x = 656,719,796,306.25
  5. Step 5: Solve for x
    x = 656,719,796,306.25/371,976
  6. Step 6: Final answer
    x = 1,765,489.70

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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.