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Finding the Third Proportional to 237,754 and 495,436

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Solution

The third proportional to 237,754 and 495,436 is: 1,032,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,754 : 495,436 = 495,436 : x
  2. Step 2: Convert to fraction form
    237,754/495,436 = 495,436/x
  3. Step 3: Cross multiply
    237,754x = 495,436 × 495,436
  4. Step 4: Simplify right side
    237,754x = 245,456,830,096
  5. Step 5: Solve for x
    x = 245,456,830,096/237,754
  6. Step 6: Final answer
    x = 1,032,398.32

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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.