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Finding the Third Proportional to 581.77 and 1,254.66

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Solution

The third proportional to 581.77 and 1,254.66 is: 2,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.77 : 1,254.66 = 1,254.66 : x
  2. Step 2: Convert to fraction form
    581.77/1,254.66 = 1,254.66/x
  3. Step 3: Cross multiply
    581.77x = 1,254.66 × 1,254.66
  4. Step 4: Simplify right side
    581.77x = 1,574,162.31
  5. Step 5: Solve for x
    x = 1,574,162.31/581.77
  6. Step 6: Final answer
    x = 2,705.84

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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.