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Finding the Third Proportional to 762.56 and 1,030.13

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Solution

The third proportional to 762.56 and 1,030.13 is: 1,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.56 : 1,030.13 = 1,030.13 : x
  2. Step 2: Convert to fraction form
    762.56/1,030.13 = 1,030.13/x
  3. Step 3: Cross multiply
    762.56x = 1,030.13 × 1,030.13
  4. Step 4: Simplify right side
    762.56x = 1,061,157.52
  5. Step 5: Solve for x
    x = 1,061,157.52/762.56
  6. Step 6: Final answer
    x = 1,391.57

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.