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Finding the Third Proportional to 560.04 and 748.93

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Solution

The third proportional to 560.04 and 748.93 is: 1,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.04 : 748.93 = 748.93 : x
  2. Step 2: Convert to fraction form
    560.04/748.93 = 748.93/x
  3. Step 3: Cross multiply
    560.04x = 748.93 × 748.93
  4. Step 4: Simplify right side
    560.04x = 560,901.53
  5. Step 5: Solve for x
    x = 560,901.53/560.04
  6. Step 6: Final answer
    x = 1,001.54

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.