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Finding the Third Proportional to 552.45 and 1,193.17

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Solution

The third proportional to 552.45 and 1,193.17 is: 2,577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.45 : 1,193.17 = 1,193.17 : x
  2. Step 2: Convert to fraction form
    552.45/1,193.17 = 1,193.17/x
  3. Step 3: Cross multiply
    552.45x = 1,193.17 × 1,193.17
  4. Step 4: Simplify right side
    552.45x = 1,423,649.80
  5. Step 5: Solve for x
    x = 1,423,649.80/552.45
  6. Step 6: Final answer
    x = 2,577.00

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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.