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Finding the Third Proportional to 560.67 and 610.03

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Solution

The third proportional to 560.67 and 610.03 is: 663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.67 : 610.03 = 610.03 : x
  2. Step 2: Convert to fraction form
    560.67/610.03 = 610.03/x
  3. Step 3: Cross multiply
    560.67x = 610.03 × 610.03
  4. Step 4: Simplify right side
    560.67x = 372,138.13
  5. Step 5: Solve for x
    x = 372,138.13/560.67
  6. Step 6: Final answer
    x = 663.74

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.