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Finding the Third Proportional to 226,598 and 497,932

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Solution

The third proportional to 226,598 and 497,932 is: 1,094,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,598 : 497,932 = 497,932 : x
  2. Step 2: Convert to fraction form
    226,598/497,932 = 497,932/x
  3. Step 3: Cross multiply
    226,598x = 497,932 × 497,932
  4. Step 4: Simplify right side
    226,598x = 247,936,276,624
  5. Step 5: Solve for x
    x = 247,936,276,624/226,598
  6. Step 6: Final answer
    x = 1,094,167.98

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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.