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Finding the Third Proportional to 228,899.81 and 497,205.56

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Solution

The third proportional to 228,899.81 and 497,205.56 is: 1,080,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,899.81 : 497,205.56 = 497,205.56 : x
  2. Step 2: Convert to fraction form
    228,899.81/497,205.56 = 497,205.56/x
  3. Step 3: Cross multiply
    228,899.81x = 497,205.56 × 497,205.56
  4. Step 4: Simplify right side
    228,899.81x = 247,213,371,380.94
  5. Step 5: Solve for x
    x = 247,213,371,380.94/228,899.81
  6. Step 6: Final answer
    x = 1,080,006.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.