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Finding the Third Proportional to 229,472 and 495,200

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Solution

The third proportional to 229,472 and 495,200 is: 1,068,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,472 : 495,200 = 495,200 : x
  2. Step 2: Convert to fraction form
    229,472/495,200 = 495,200/x
  3. Step 3: Cross multiply
    229,472x = 495,200 × 495,200
  4. Step 4: Simplify right side
    229,472x = 245,223,040,000
  5. Step 5: Solve for x
    x = 245,223,040,000/229,472
  6. Step 6: Final answer
    x = 1,068,640.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.