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Finding the Third Proportional to 587.99 and 1,285.29

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Solution

The third proportional to 587.99 and 1,285.29 is: 2,809.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.99 : 1,285.29 = 1,285.29 : x
  2. Step 2: Convert to fraction form
    587.99/1,285.29 = 1,285.29/x
  3. Step 3: Cross multiply
    587.99x = 1,285.29 × 1,285.29
  4. Step 4: Simplify right side
    587.99x = 1,651,983.04
  5. Step 5: Solve for x
    x = 1,651,983.04/587.99
  6. Step 6: Final answer
    x = 2,809.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.