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Finding the Third Proportional to 528 and 1,147

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Solution

The third proportional to 528 and 1,147 is: 2,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    528 : 1,147 = 1,147 : x
  2. Step 2: Convert to fraction form
    528/1,147 = 1,147/x
  3. Step 3: Cross multiply
    528x = 1,147 × 1,147
  4. Step 4: Simplify right side
    528x = 1,315,609
  5. Step 5: Solve for x
    x = 1,315,609/528
  6. Step 6: Final answer
    x = 2,491.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.