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Finding the Third Proportional to 231,455.61 and 497,037.94

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Solution

The third proportional to 231,455.61 and 497,037.94 is: 1,067,361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,455.61 : 497,037.94 = 497,037.94 : x
  2. Step 2: Convert to fraction form
    231,455.61/497,037.94 = 497,037.94/x
  3. Step 3: Cross multiply
    231,455.61x = 497,037.94 × 497,037.94
  4. Step 4: Simplify right side
    231,455.61x = 247,046,711,314.25
  5. Step 5: Solve for x
    x = 247,046,711,314.25/231,455.61
  6. Step 6: Final answer
    x = 1,067,361.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.