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Finding the Third Proportional to 526.78 and 579.09

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Solution

The third proportional to 526.78 and 579.09 is: 636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.78 : 579.09 = 579.09 : x
  2. Step 2: Convert to fraction form
    526.78/579.09 = 579.09/x
  3. Step 3: Cross multiply
    526.78x = 579.09 × 579.09
  4. Step 4: Simplify right side
    526.78x = 335,349.57
  5. Step 5: Solve for x
    x = 335,349.57/526.78
  6. Step 6: Final answer
    x = 636.60

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.