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Finding the Third Proportional to 226,374 and 495,948

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Solution

The third proportional to 226,374 and 495,948 is: 1,086,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,374 : 495,948 = 495,948 : x
  2. Step 2: Convert to fraction form
    226,374/495,948 = 495,948/x
  3. Step 3: Cross multiply
    226,374x = 495,948 × 495,948
  4. Step 4: Simplify right side
    226,374x = 245,964,418,704
  5. Step 5: Solve for x
    x = 245,964,418,704/226,374
  6. Step 6: Final answer
    x = 1,086,540.06

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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.