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Finding the Third Proportional to 237,993 and 495,672

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Solution

The third proportional to 237,993 and 495,672 is: 1,032,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,993 : 495,672 = 495,672 : x
  2. Step 2: Convert to fraction form
    237,993/495,672 = 495,672/x
  3. Step 3: Cross multiply
    237,993x = 495,672 × 495,672
  4. Step 4: Simplify right side
    237,993x = 245,690,731,584
  5. Step 5: Solve for x
    x = 245,690,731,584/237,993
  6. Step 6: Final answer
    x = 1,032,344.36

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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.