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Finding the Third Proportional to 560.94 and 801.22

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Solution

The third proportional to 560.94 and 801.22 is: 1,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.94 : 801.22 = 801.22 : x
  2. Step 2: Convert to fraction form
    560.94/801.22 = 801.22/x
  3. Step 3: Cross multiply
    560.94x = 801.22 × 801.22
  4. Step 4: Simplify right side
    560.94x = 641,951.49
  5. Step 5: Solve for x
    x = 641,951.49/560.94
  6. Step 6: Final answer
    x = 1,144.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.