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Finding the Third Proportional to 229,544 and 497,204

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Solution

The third proportional to 229,544 and 497,204 is: 1,076,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,544 : 497,204 = 497,204 : x
  2. Step 2: Convert to fraction form
    229,544/497,204 = 497,204/x
  3. Step 3: Cross multiply
    229,544x = 497,204 × 497,204
  4. Step 4: Simplify right side
    229,544x = 247,211,817,616
  5. Step 5: Solve for x
    x = 247,211,817,616/229,544
  6. Step 6: Final answer
    x = 1,076,969.20

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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.