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Finding the Third Proportional to 287,772.75 and 431,659.13

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Solution

The third proportional to 287,772.75 and 431,659.13 is: 647,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,772.75 : 431,659.13 = 431,659.13 : x
  2. Step 2: Convert to fraction form
    287,772.75/431,659.13 = 431,659.13/x
  3. Step 3: Cross multiply
    287,772.75x = 431,659.13 × 431,659.13
  4. Step 4: Simplify right side
    287,772.75x = 186,329,600,195.77
  5. Step 5: Solve for x
    x = 186,329,600,195.77/287,772.75
  6. Step 6: Final answer
    x = 647,488.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.