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Finding the Third Proportional to 402,100.59 and 612,584.44

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Solution

The third proportional to 402,100.59 and 612,584.44 is: 933,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,100.59 : 612,584.44 = 612,584.44 : x
  2. Step 2: Convert to fraction form
    402,100.59/612,584.44 = 612,584.44/x
  3. Step 3: Cross multiply
    402,100.59x = 612,584.44 × 612,584.44
  4. Step 4: Simplify right side
    402,100.59x = 375,259,693,067.19
  5. Step 5: Solve for x
    x = 375,259,693,067.19/402,100.59
  6. Step 6: Final answer
    x = 933,248.29

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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.