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Finding the Third Proportional to 226,782 and 495,009

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Solution

The third proportional to 226,782 and 495,009 is: 1,080,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,782 : 495,009 = 495,009 : x
  2. Step 2: Convert to fraction form
    226,782/495,009 = 495,009/x
  3. Step 3: Cross multiply
    226,782x = 495,009 × 495,009
  4. Step 4: Simplify right side
    226,782x = 245,033,910,081
  5. Step 5: Solve for x
    x = 245,033,910,081/226,782
  6. Step 6: Final answer
    x = 1,080,482.18

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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.