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Finding the Third Proportional to 728.06 and 1,098.94

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Solution

The third proportional to 728.06 and 1,098.94 is: 1,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.06 : 1,098.94 = 1,098.94 : x
  2. Step 2: Convert to fraction form
    728.06/1,098.94 = 1,098.94/x
  3. Step 3: Cross multiply
    728.06x = 1,098.94 × 1,098.94
  4. Step 4: Simplify right side
    728.06x = 1,207,663.63
  5. Step 5: Solve for x
    x = 1,207,663.63/728.06
  6. Step 6: Final answer
    x = 1,658.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.