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Finding the Third Proportional to 227,680.88 and 495,492.75

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Solution

The third proportional to 227,680.88 and 495,492.75 is: 1,078,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,680.88 : 495,492.75 = 495,492.75 : x
  2. Step 2: Convert to fraction form
    227,680.88/495,492.75 = 495,492.75/x
  3. Step 3: Cross multiply
    227,680.88x = 495,492.75 × 495,492.75
  4. Step 4: Simplify right side
    227,680.88x = 245,513,065,302.56
  5. Step 5: Solve for x
    x = 245,513,065,302.56/227,680.88
  6. Step 6: Final answer
    x = 1,078,320.98

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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.