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Finding the Third Proportional to 238,052 and 495,832

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Solution

The third proportional to 238,052 and 495,832 is: 1,032,754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,052 : 495,832 = 495,832 : x
  2. Step 2: Convert to fraction form
    238,052/495,832 = 495,832/x
  3. Step 3: Cross multiply
    238,052x = 495,832 × 495,832
  4. Step 4: Simplify right side
    238,052x = 245,849,372,224
  5. Step 5: Solve for x
    x = 245,849,372,224/238,052
  6. Step 6: Final answer
    x = 1,032,754.91

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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.