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Finding the Third Proportional to 237,763 and 495,452

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Solution

The third proportional to 237,763 and 495,452 is: 1,032,425.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,763 : 495,452 = 495,452 : x
  2. Step 2: Convert to fraction form
    237,763/495,452 = 495,452/x
  3. Step 3: Cross multiply
    237,763x = 495,452 × 495,452
  4. Step 4: Simplify right side
    237,763x = 245,472,684,304
  5. Step 5: Solve for x
    x = 245,472,684,304/237,763
  6. Step 6: Final answer
    x = 1,032,425.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.