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Finding the Third Proportional to 545.97 and 1,178.44

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Solution

The third proportional to 545.97 and 1,178.44 is: 2,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.97 : 1,178.44 = 1,178.44 : x
  2. Step 2: Convert to fraction form
    545.97/1,178.44 = 1,178.44/x
  3. Step 3: Cross multiply
    545.97x = 1,178.44 × 1,178.44
  4. Step 4: Simplify right side
    545.97x = 1,388,714.94
  5. Step 5: Solve for x
    x = 1,388,714.94/545.97
  6. Step 6: Final answer
    x = 2,543.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.