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Finding the Third Proportional to 485,308.97 and 1,032,856.31

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Solution

The third proportional to 485,308.97 and 1,032,856.31 is: 2,198,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,308.97 : 1,032,856.31 = 1,032,856.31 : x
  2. Step 2: Convert to fraction form
    485,308.97/1,032,856.31 = 1,032,856.31/x
  3. Step 3: Cross multiply
    485,308.97x = 1,032,856.31 × 1,032,856.31
  4. Step 4: Simplify right side
    485,308.97x = 1,066,792,162,271.10
  5. Step 5: Solve for x
    x = 1,066,792,162,271.10/485,308.97
  6. Step 6: Final answer
    x = 2,198,171.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.