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Finding the Third Proportional to 585.91 and 1,262.94

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Solution

The third proportional to 585.91 and 1,262.94 is: 2,722.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.91 : 1,262.94 = 1,262.94 : x
  2. Step 2: Convert to fraction form
    585.91/1,262.94 = 1,262.94/x
  3. Step 3: Cross multiply
    585.91x = 1,262.94 × 1,262.94
  4. Step 4: Simplify right side
    585.91x = 1,595,006.20
  5. Step 5: Solve for x
    x = 1,595,006.20/585.91
  6. Step 6: Final answer
    x = 2,722.29

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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.