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Finding the Third Proportional to 227,624 and 497,288

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Solution

The third proportional to 227,624 and 497,288 is: 1,086,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,624 : 497,288 = 497,288 : x
  2. Step 2: Convert to fraction form
    227,624/497,288 = 497,288/x
  3. Step 3: Cross multiply
    227,624x = 497,288 × 497,288
  4. Step 4: Simplify right side
    227,624x = 247,295,354,944
  5. Step 5: Solve for x
    x = 247,295,354,944/227,624
  6. Step 6: Final answer
    x = 1,086,420.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.