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Finding the Third Proportional to 182,488 and 400,504

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Solution

The third proportional to 182,488 and 400,504 is: 878,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,488 : 400,504 = 400,504 : x
  2. Step 2: Convert to fraction form
    182,488/400,504 = 400,504/x
  3. Step 3: Cross multiply
    182,488x = 400,504 × 400,504
  4. Step 4: Simplify right side
    182,488x = 160,403,454,016
  5. Step 5: Solve for x
    x = 160,403,454,016/182,488
  6. Step 6: Final answer
    x = 878,980.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.