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Finding the Third Proportional to 581.16 and 1,264.83

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Solution

The third proportional to 581.16 and 1,264.83 is: 2,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.16 : 1,264.83 = 1,264.83 : x
  2. Step 2: Convert to fraction form
    581.16/1,264.83 = 1,264.83/x
  3. Step 3: Cross multiply
    581.16x = 1,264.83 × 1,264.83
  4. Step 4: Simplify right side
    581.16x = 1,599,805.01
  5. Step 5: Solve for x
    x = 1,599,805.01/581.16
  6. Step 6: Final answer
    x = 2,752.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.