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Finding the Third Proportional to 185,715 and 400,986

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Solution

The third proportional to 185,715 and 400,986 is: 865,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,715 : 400,986 = 400,986 : x
  2. Step 2: Convert to fraction form
    185,715/400,986 = 400,986/x
  3. Step 3: Cross multiply
    185,715x = 400,986 × 400,986
  4. Step 4: Simplify right side
    185,715x = 160,789,772,196
  5. Step 5: Solve for x
    x = 160,789,772,196/185,715
  6. Step 6: Final answer
    x = 865,787.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.