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Finding the Third Proportional to 581.06 and 1,254.38

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Solution

The third proportional to 581.06 and 1,254.38 is: 2,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.06 : 1,254.38 = 1,254.38 : x
  2. Step 2: Convert to fraction form
    581.06/1,254.38 = 1,254.38/x
  3. Step 3: Cross multiply
    581.06x = 1,254.38 × 1,254.38
  4. Step 4: Simplify right side
    581.06x = 1,573,456.64
  5. Step 5: Solve for x
    x = 1,573,456.64/581.06
  6. Step 6: Final answer
    x = 2,707.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.