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Finding the Third Proportional to 225,526.78 and 486,311.34

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Solution

The third proportional to 225,526.78 and 486,311.34 is: 1,048,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,526.78 : 486,311.34 = 486,311.34 : x
  2. Step 2: Convert to fraction form
    225,526.78/486,311.34 = 486,311.34/x
  3. Step 3: Cross multiply
    225,526.78x = 486,311.34 × 486,311.34
  4. Step 4: Simplify right side
    225,526.78x = 236,498,723,059.93
  5. Step 5: Solve for x
    x = 236,498,723,059.93/225,526.78
  6. Step 6: Final answer
    x = 1,048,650.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.