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Finding the Third Proportional to 226,918 and 495,386

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Solution

The third proportional to 226,918 and 495,386 is: 1,081,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,918 : 495,386 = 495,386 : x
  2. Step 2: Convert to fraction form
    226,918/495,386 = 495,386/x
  3. Step 3: Cross multiply
    226,918x = 495,386 × 495,386
  4. Step 4: Simplify right side
    226,918x = 245,407,288,996
  5. Step 5: Solve for x
    x = 245,407,288,996/226,918
  6. Step 6: Final answer
    x = 1,081,480.05

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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.