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Finding the Third Proportional to 361,983.94 and 787,006.13

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Solution

The third proportional to 361,983.94 and 787,006.13 is: 1,711,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,983.94 : 787,006.13 = 787,006.13 : x
  2. Step 2: Convert to fraction form
    361,983.94/787,006.13 = 787,006.13/x
  3. Step 3: Cross multiply
    361,983.94x = 787,006.13 × 787,006.13
  4. Step 4: Simplify right side
    361,983.94x = 619,378,640,787.52
  5. Step 5: Solve for x
    x = 619,378,640,787.52/361,983.94
  6. Step 6: Final answer
    x = 1,711,066.64

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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.