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Finding the Third Proportional to 237,690 and 495,306

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Solution

The third proportional to 237,690 and 495,306 is: 1,032,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,690 : 495,306 = 495,306 : x
  2. Step 2: Convert to fraction form
    237,690/495,306 = 495,306/x
  3. Step 3: Cross multiply
    237,690x = 495,306 × 495,306
  4. Step 4: Simplify right side
    237,690x = 245,328,033,636
  5. Step 5: Solve for x
    x = 245,328,033,636/237,690
  6. Step 6: Final answer
    x = 1,032,134.43

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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.