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Finding the Third Proportional to 590.34 and 1,282.22

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Solution

The third proportional to 590.34 and 1,282.22 is: 2,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.34 : 1,282.22 = 1,282.22 : x
  2. Step 2: Convert to fraction form
    590.34/1,282.22 = 1,282.22/x
  3. Step 3: Cross multiply
    590.34x = 1,282.22 × 1,282.22
  4. Step 4: Simplify right side
    590.34x = 1,644,084.92
  5. Step 5: Solve for x
    x = 1,644,084.92/590.34
  6. Step 6: Final answer
    x = 2,784.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.