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Finding the Third Proportional to 226,977.19 and 498,035.25

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Solution

The third proportional to 226,977.19 and 498,035.25 is: 1,092,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,977.19 : 498,035.25 = 498,035.25 : x
  2. Step 2: Convert to fraction form
    226,977.19/498,035.25 = 498,035.25/x
  3. Step 3: Cross multiply
    226,977.19x = 498,035.25 × 498,035.25
  4. Step 4: Simplify right side
    226,977.19x = 248,039,110,242.56
  5. Step 5: Solve for x
    x = 248,039,110,242.56/226,977.19
  6. Step 6: Final answer
    x = 1,092,793.13

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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.