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Finding the Third Proportional to 590.73 and 1,237.46

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Solution

The third proportional to 590.73 and 1,237.46 is: 2,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.73 : 1,237.46 = 1,237.46 : x
  2. Step 2: Convert to fraction form
    590.73/1,237.46 = 1,237.46/x
  3. Step 3: Cross multiply
    590.73x = 1,237.46 × 1,237.46
  4. Step 4: Simplify right side
    590.73x = 1,531,319.24
  5. Step 5: Solve for x
    x = 1,531,319.24/590.73
  6. Step 6: Final answer
    x = 2,592.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.