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Finding the Third Proportional to 237,760 and 495,446

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Solution

The third proportional to 237,760 and 495,446 is: 1,032,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,760 : 495,446 = 495,446 : x
  2. Step 2: Convert to fraction form
    237,760/495,446 = 495,446/x
  3. Step 3: Cross multiply
    237,760x = 495,446 × 495,446
  4. Step 4: Simplify right side
    237,760x = 245,466,738,916
  5. Step 5: Solve for x
    x = 245,466,738,916/237,760
  6. Step 6: Final answer
    x = 1,032,413.94

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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.