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Finding the Third Proportional to 360.84 and 784.97

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Solution

The third proportional to 360.84 and 784.97 is: 1,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.84 : 784.97 = 784.97 : x
  2. Step 2: Convert to fraction form
    360.84/784.97 = 784.97/x
  3. Step 3: Cross multiply
    360.84x = 784.97 × 784.97
  4. Step 4: Simplify right side
    360.84x = 616,175.94
  5. Step 5: Solve for x
    x = 616,175.94/360.84
  6. Step 6: Final answer
    x = 1,707.60

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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.