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Finding the Third Proportional to 228,472 and 495,076

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Solution

The third proportional to 228,472 and 495,076 is: 1,072,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,472 : 495,076 = 495,076 : x
  2. Step 2: Convert to fraction form
    228,472/495,076 = 495,076/x
  3. Step 3: Cross multiply
    228,472x = 495,076 × 495,076
  4. Step 4: Simplify right side
    228,472x = 245,100,245,776
  5. Step 5: Solve for x
    x = 245,100,245,776/228,472
  6. Step 6: Final answer
    x = 1,072,780.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.