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Finding the Third Proportional to 360.66 and 784.59

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Solution

The third proportional to 360.66 and 784.59 is: 1,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.66 : 784.59 = 784.59 : x
  2. Step 2: Convert to fraction form
    360.66/784.59 = 784.59/x
  3. Step 3: Cross multiply
    360.66x = 784.59 × 784.59
  4. Step 4: Simplify right side
    360.66x = 615,587.35
  5. Step 5: Solve for x
    x = 615,587.35/360.66
  6. Step 6: Final answer
    x = 1,706.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.