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Finding the Third Proportional to 368,785.41 and 802,463.20

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Solution

The third proportional to 368,785.41 and 802,463.20 is: 1,746,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,785.41 : 802,463.20 = 802,463.20 : x
  2. Step 2: Convert to fraction form
    368,785.41/802,463.20 = 802,463.20/x
  3. Step 3: Cross multiply
    368,785.41x = 802,463.20 × 802,463.20
  4. Step 4: Simplify right side
    368,785.41x = 643,947,192,369.64
  5. Step 5: Solve for x
    x = 643,947,192,369.64/368,785.41
  6. Step 6: Final answer
    x = 1,746,129.81

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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.