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Finding the Third Proportional to 226,084.78 and 497,710.97

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Solution

The third proportional to 226,084.78 and 497,710.97 is: 1,095,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,084.78 : 497,710.97 = 497,710.97 : x
  2. Step 2: Convert to fraction form
    226,084.78/497,710.97 = 497,710.97/x
  3. Step 3: Cross multiply
    226,084.78x = 497,710.97 × 497,710.97
  4. Step 4: Simplify right side
    226,084.78x = 247,716,208,414.06
  5. Step 5: Solve for x
    x = 247,716,208,414.06/226,084.78
  6. Step 6: Final answer
    x = 1,095,678.39

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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.