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Finding the Third Proportional to 227,008.13 and 498,298.50

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Solution

The third proportional to 227,008.13 and 498,298.50 is: 1,093,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,008.13 : 498,298.50 = 498,298.50 : x
  2. Step 2: Convert to fraction form
    227,008.13/498,298.50 = 498,298.50/x
  3. Step 3: Cross multiply
    227,008.13x = 498,298.50 × 498,298.50
  4. Step 4: Simplify right side
    227,008.13x = 248,301,395,102.25
  5. Step 5: Solve for x
    x = 248,301,395,102.25/227,008.13
  6. Step 6: Final answer
    x = 1,093,799.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.