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Finding the Third Proportional to 491,265 and 781,184.25

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Solution

The third proportional to 491,265 and 781,184.25 is: 1,242,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,265 : 781,184.25 = 781,184.25 : x
  2. Step 2: Convert to fraction form
    491,265/781,184.25 = 781,184.25/x
  3. Step 3: Cross multiply
    491,265x = 781,184.25 × 781,184.25
  4. Step 4: Simplify right side
    491,265x = 610,248,832,448.06
  5. Step 5: Solve for x
    x = 610,248,832,448.06/491,265
  6. Step 6: Final answer
    x = 1,242,198.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.