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Finding the Third Proportional to 291.59 and 637.73

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Solution

The third proportional to 291.59 and 637.73 is: 1,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.59 : 637.73 = 637.73 : x
  2. Step 2: Convert to fraction form
    291.59/637.73 = 637.73/x
  3. Step 3: Cross multiply
    291.59x = 637.73 × 637.73
  4. Step 4: Simplify right side
    291.59x = 406,705.13
  5. Step 5: Solve for x
    x = 406,705.13/291.59
  6. Step 6: Final answer
    x = 1,394.80

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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.