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Finding the Third Proportional to 590.50 and 1,267.25

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Solution

The third proportional to 590.50 and 1,267.25 is: 2,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.50 : 1,267.25 = 1,267.25 : x
  2. Step 2: Convert to fraction form
    590.50/1,267.25 = 1,267.25/x
  3. Step 3: Cross multiply
    590.50x = 1,267.25 × 1,267.25
  4. Step 4: Simplify right side
    590.50x = 1,605,922.56
  5. Step 5: Solve for x
    x = 1,605,922.56/590.50
  6. Step 6: Final answer
    x = 2,719.60

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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.