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Finding the Third Proportional to 227,612 and 497,263

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Solution

The third proportional to 227,612 and 497,263 is: 1,086,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,612 : 497,263 = 497,263 : x
  2. Step 2: Convert to fraction form
    227,612/497,263 = 497,263/x
  3. Step 3: Cross multiply
    227,612x = 497,263 × 497,263
  4. Step 4: Simplify right side
    227,612x = 247,270,491,169
  5. Step 5: Solve for x
    x = 247,270,491,169/227,612
  6. Step 6: Final answer
    x = 1,086,368.43

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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.