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Finding the Third Proportional to 226,324 and 497,844

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Solution

The third proportional to 226,324 and 497,844 is: 1,095,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,324 : 497,844 = 497,844 : x
  2. Step 2: Convert to fraction form
    226,324/497,844 = 497,844/x
  3. Step 3: Cross multiply
    226,324x = 497,844 × 497,844
  4. Step 4: Simplify right side
    226,324x = 247,848,648,336
  5. Step 5: Solve for x
    x = 247,848,648,336/226,324
  6. Step 6: Final answer
    x = 1,095,105.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.