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Finding the Third Proportional to 262,766.25 and 400,710.38

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Solution

The third proportional to 262,766.25 and 400,710.38 is: 611,070.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,766.25 : 400,710.38 = 400,710.38 : x
  2. Step 2: Convert to fraction form
    262,766.25/400,710.38 = 400,710.38/x
  3. Step 3: Cross multiply
    262,766.25x = 400,710.38 × 400,710.38
  4. Step 4: Simplify right side
    262,766.25x = 160,568,804,632.64
  5. Step 5: Solve for x
    x = 160,568,804,632.64/262,766.25
  6. Step 6: Final answer
    x = 611,070.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.