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Finding the Third Proportional to 226,916 and 495,382

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Solution

The third proportional to 226,916 and 495,382 is: 1,081,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,916 : 495,382 = 495,382 : x
  2. Step 2: Convert to fraction form
    226,916/495,382 = 495,382/x
  3. Step 3: Cross multiply
    226,916x = 495,382 × 495,382
  4. Step 4: Simplify right side
    226,916x = 245,403,325,924
  5. Step 5: Solve for x
    x = 245,403,325,924/226,916
  6. Step 6: Final answer
    x = 1,081,472.11

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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.