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Finding the Third Proportional to 576.28 and 761.06

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Solution

The third proportional to 576.28 and 761.06 is: 1,005.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.28 : 761.06 = 761.06 : x
  2. Step 2: Convert to fraction form
    576.28/761.06 = 761.06/x
  3. Step 3: Cross multiply
    576.28x = 761.06 × 761.06
  4. Step 4: Simplify right side
    576.28x = 579,216.13
  5. Step 5: Solve for x
    x = 579,216.13/576.28
  6. Step 6: Final answer
    x = 1,005.09

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.