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Finding the Third Proportional to 549.56 and 957.52

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Solution

The third proportional to 549.56 and 957.52 is: 1,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.56 : 957.52 = 957.52 : x
  2. Step 2: Convert to fraction form
    549.56/957.52 = 957.52/x
  3. Step 3: Cross multiply
    549.56x = 957.52 × 957.52
  4. Step 4: Simplify right side
    549.56x = 916,836.17
  5. Step 5: Solve for x
    x = 916,836.17/549.56
  6. Step 6: Final answer
    x = 1,668.30

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.