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Finding the Third Proportional to 526.92 and 1,158.68

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Solution

The third proportional to 526.92 and 1,158.68 is: 2,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.92 : 1,158.68 = 1,158.68 : x
  2. Step 2: Convert to fraction form
    526.92/1,158.68 = 1,158.68/x
  3. Step 3: Cross multiply
    526.92x = 1,158.68 × 1,158.68
  4. Step 4: Simplify right side
    526.92x = 1,342,538.62
  5. Step 5: Solve for x
    x = 1,342,538.62/526.92
  6. Step 6: Final answer
    x = 2,547.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.