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Finding the Third Proportional to 512.72 and 780.05

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Solution

The third proportional to 512.72 and 780.05 is: 1,186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.72 : 780.05 = 780.05 : x
  2. Step 2: Convert to fraction form
    512.72/780.05 = 780.05/x
  3. Step 3: Cross multiply
    512.72x = 780.05 × 780.05
  4. Step 4: Simplify right side
    512.72x = 608,473.13
  5. Step 5: Solve for x
    x = 608,473.13/512.72
  6. Step 6: Final answer
    x = 1,186.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.