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Finding the Third Proportional to 264.80 and 579.80

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Solution

The third proportional to 264.80 and 579.80 is: 1,269.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.80 : 579.80 = 579.80 : x
  2. Step 2: Convert to fraction form
    264.80/579.80 = 579.80/x
  3. Step 3: Cross multiply
    264.80x = 579.80 × 579.80
  4. Step 4: Simplify right side
    264.80x = 336,164.42
  5. Step 5: Solve for x
    x = 336,164.42/264.80
  6. Step 6: Final answer
    x = 1,269.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.