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Finding the Third Proportional to 847.97 and 1,384.17

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Solution

The third proportional to 847.97 and 1,384.17 is: 2,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.97 : 1,384.17 = 1,384.17 : x
  2. Step 2: Convert to fraction form
    847.97/1,384.17 = 1,384.17/x
  3. Step 3: Cross multiply
    847.97x = 1,384.17 × 1,384.17
  4. Step 4: Simplify right side
    847.97x = 1,915,931.78
  5. Step 5: Solve for x
    x = 1,915,931.78/847.97
  6. Step 6: Final answer
    x = 2,259.44

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.