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Finding the Third Proportional to 361,691.44 and 785,651.63

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Solution

The third proportional to 361,691.44 and 785,651.63 is: 1,706,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,691.44 : 785,651.63 = 785,651.63 : x
  2. Step 2: Convert to fraction form
    361,691.44/785,651.63 = 785,651.63/x
  3. Step 3: Cross multiply
    361,691.44x = 785,651.63 × 785,651.63
  4. Step 4: Simplify right side
    361,691.44x = 617,248,475,865.14
  5. Step 5: Solve for x
    x = 617,248,475,865.14/361,691.44
  6. Step 6: Final answer
    x = 1,706,560.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.