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Finding the Third Proportional to 590.11 and 1,250.30

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Solution

The third proportional to 590.11 and 1,250.30 is: 2,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.11 : 1,250.30 = 1,250.30 : x
  2. Step 2: Convert to fraction form
    590.11/1,250.30 = 1,250.30/x
  3. Step 3: Cross multiply
    590.11x = 1,250.30 × 1,250.30
  4. Step 4: Simplify right side
    590.11x = 1,563,242.28
  5. Step 5: Solve for x
    x = 1,563,242.28/590.11
  6. Step 6: Final answer
    x = 2,649.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.