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Finding the Third Proportional to 590.63 and 1,270.69

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Solution

The third proportional to 590.63 and 1,270.69 is: 2,733.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.63 : 1,270.69 = 1,270.69 : x
  2. Step 2: Convert to fraction form
    590.63/1,270.69 = 1,270.69/x
  3. Step 3: Cross multiply
    590.63x = 1,270.69 × 1,270.69
  4. Step 4: Simplify right side
    590.63x = 1,614,646.72
  5. Step 5: Solve for x
    x = 1,614,646.72/590.63
  6. Step 6: Final answer
    x = 2,733.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.