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Finding the Third Proportional to 228,921.19 and 497,233.69

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Solution

The third proportional to 228,921.19 and 497,233.69 is: 1,080,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,921.19 : 497,233.69 = 497,233.69 : x
  2. Step 2: Convert to fraction form
    228,921.19/497,233.69 = 497,233.69/x
  3. Step 3: Cross multiply
    228,921.19x = 497,233.69 × 497,233.69
  4. Step 4: Simplify right side
    228,921.19x = 247,241,339,984.85
  5. Step 5: Solve for x
    x = 247,241,339,984.85/228,921.19
  6. Step 6: Final answer
    x = 1,080,028.21

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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.