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Finding the Third Proportional to 237,756 and 495,438

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Solution

The third proportional to 237,756 and 495,438 is: 1,032,397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,756 : 495,438 = 495,438 : x
  2. Step 2: Convert to fraction form
    237,756/495,438 = 495,438/x
  3. Step 3: Cross multiply
    237,756x = 495,438 × 495,438
  4. Step 4: Simplify right side
    237,756x = 245,458,811,844
  5. Step 5: Solve for x
    x = 245,458,811,844/237,756
  6. Step 6: Final answer
    x = 1,032,397.97

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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.