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Finding the Third Proportional to 585.91 and 1,254.93

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Solution

The third proportional to 585.91 and 1,254.93 is: 2,687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.91 : 1,254.93 = 1,254.93 : x
  2. Step 2: Convert to fraction form
    585.91/1,254.93 = 1,254.93/x
  3. Step 3: Cross multiply
    585.91x = 1,254.93 × 1,254.93
  4. Step 4: Simplify right side
    585.91x = 1,574,840.55
  5. Step 5: Solve for x
    x = 1,574,840.55/585.91
  6. Step 6: Final answer
    x = 2,687.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.