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Finding the Third Proportional to 238,002 and 495,716

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Solution

The third proportional to 238,002 and 495,716 is: 1,032,488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,002 : 495,716 = 495,716 : x
  2. Step 2: Convert to fraction form
    238,002/495,716 = 495,716/x
  3. Step 3: Cross multiply
    238,002x = 495,716 × 495,716
  4. Step 4: Simplify right side
    238,002x = 245,734,352,656
  5. Step 5: Solve for x
    x = 245,734,352,656/238,002
  6. Step 6: Final answer
    x = 1,032,488.60

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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.