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Finding the Third Proportional to 226,005.19 and 495,370.69

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Solution

The third proportional to 226,005.19 and 495,370.69 is: 1,085,780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,005.19 : 495,370.69 = 495,370.69 : x
  2. Step 2: Convert to fraction form
    226,005.19/495,370.69 = 495,370.69/x
  3. Step 3: Cross multiply
    226,005.19x = 495,370.69 × 495,370.69
  4. Step 4: Simplify right side
    226,005.19x = 245,392,118,034.22
  5. Step 5: Solve for x
    x = 245,392,118,034.22/226,005.19
  6. Step 6: Final answer
    x = 1,085,780.91

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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.