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Finding the Third Proportional to 238,054 and 495,836

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Solution

The third proportional to 238,054 and 495,836 is: 1,032,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,054 : 495,836 = 495,836 : x
  2. Step 2: Convert to fraction form
    238,054/495,836 = 495,836/x
  3. Step 3: Cross multiply
    238,054x = 495,836 × 495,836
  4. Step 4: Simplify right side
    238,054x = 245,853,338,896
  5. Step 5: Solve for x
    x = 245,853,338,896/238,054
  6. Step 6: Final answer
    x = 1,032,762.90

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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.