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Finding the Third Proportional to 238,051 and 495,830

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Solution

The third proportional to 238,051 and 495,830 is: 1,032,750.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,051 : 495,830 = 495,830 : x
  2. Step 2: Convert to fraction form
    238,051/495,830 = 495,830/x
  3. Step 3: Cross multiply
    238,051x = 495,830 × 495,830
  4. Step 4: Simplify right side
    238,051x = 245,847,388,900
  5. Step 5: Solve for x
    x = 245,847,388,900/238,051
  6. Step 6: Final answer
    x = 1,032,750.92

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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.