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Finding the Third Proportional to 226,875.66 and 498,037.78

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Solution

The third proportional to 226,875.66 and 498,037.78 is: 1,093,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,875.66 : 498,037.78 = 498,037.78 : x
  2. Step 2: Convert to fraction form
    226,875.66/498,037.78 = 498,037.78/x
  3. Step 3: Cross multiply
    226,875.66x = 498,037.78 × 498,037.78
  4. Step 4: Simplify right side
    226,875.66x = 248,041,631,552.42
  5. Step 5: Solve for x
    x = 248,041,631,552.42/226,875.66
  6. Step 6: Final answer
    x = 1,093,293.29

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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.