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Finding the Third Proportional to 784.97 and 1,336.92

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Solution

The third proportional to 784.97 and 1,336.92 is: 2,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.97 : 1,336.92 = 1,336.92 : x
  2. Step 2: Convert to fraction form
    784.97/1,336.92 = 1,336.92/x
  3. Step 3: Cross multiply
    784.97x = 1,336.92 × 1,336.92
  4. Step 4: Simplify right side
    784.97x = 1,787,360.10
  5. Step 5: Solve for x
    x = 1,787,360.10/784.97
  6. Step 6: Final answer
    x = 2,276.98

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.