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Finding the Third Proportional to 231,486 and 506,226

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Solution

The third proportional to 231,486 and 506,226 is: 1,107,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,486 : 506,226 = 506,226 : x
  2. Step 2: Convert to fraction form
    231,486/506,226 = 506,226/x
  3. Step 3: Cross multiply
    231,486x = 506,226 × 506,226
  4. Step 4: Simplify right side
    231,486x = 256,264,763,076
  5. Step 5: Solve for x
    x = 256,264,763,076/231,486
  6. Step 6: Final answer
    x = 1,107,042.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.