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Finding the Third Proportional to 401,452.88 and 865,576.13

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Solution

The third proportional to 401,452.88 and 865,576.13 is: 1,866,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,452.88 : 865,576.13 = 865,576.13 : x
  2. Step 2: Convert to fraction form
    401,452.88/865,576.13 = 865,576.13/x
  3. Step 3: Cross multiply
    401,452.88x = 865,576.13 × 865,576.13
  4. Step 4: Simplify right side
    401,452.88x = 749,222,028,170.02
  5. Step 5: Solve for x
    x = 749,222,028,170.02/401,452.88
  6. Step 6: Final answer
    x = 1,866,276.40

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Why These Related Problems?

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