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Finding the Third Proportional to 227,514.75 and 495,382.50

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Solution

The third proportional to 227,514.75 and 495,382.50 is: 1,078,628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,514.75 : 495,382.50 = 495,382.50 : x
  2. Step 2: Convert to fraction form
    227,514.75/495,382.50 = 495,382.50/x
  3. Step 3: Cross multiply
    227,514.75x = 495,382.50 × 495,382.50
  4. Step 4: Simplify right side
    227,514.75x = 245,403,821,306.25
  5. Step 5: Solve for x
    x = 245,403,821,306.25/227,514.75
  6. Step 6: Final answer
    x = 1,078,628.18

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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.