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Finding the Third Proportional to 225,663.75 and 486,592.88

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Solution

The third proportional to 225,663.75 and 486,592.88 is: 1,049,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,663.75 : 486,592.88 = 486,592.88 : x
  2. Step 2: Convert to fraction form
    225,663.75/486,592.88 = 486,592.88/x
  3. Step 3: Cross multiply
    225,663.75x = 486,592.88 × 486,592.88
  4. Step 4: Simplify right side
    225,663.75x = 236,772,626,000.77
  5. Step 5: Solve for x
    x = 236,772,626,000.77/225,663.75
  6. Step 6: Final answer
    x = 1,049,227.56

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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.