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Finding the Third Proportional to 228,960.50 and 497,329

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Solution

The third proportional to 228,960.50 and 497,329 is: 1,080,256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,960.50 : 497,329 = 497,329 : x
  2. Step 2: Convert to fraction form
    228,960.50/497,329 = 497,329/x
  3. Step 3: Cross multiply
    228,960.50x = 497,329 × 497,329
  4. Step 4: Simplify right side
    228,960.50x = 247,336,134,241
  5. Step 5: Solve for x
    x = 247,336,134,241/228,960.50
  6. Step 6: Final answer
    x = 1,080,256.79

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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.