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Finding the Third Proportional to 238,185 and 495,972

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Solution

The third proportional to 238,185 and 495,972 is: 1,032,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,185 : 495,972 = 495,972 : x
  2. Step 2: Convert to fraction form
    238,185/495,972 = 495,972/x
  3. Step 3: Cross multiply
    238,185x = 495,972 × 495,972
  4. Step 4: Simplify right side
    238,185x = 245,988,224,784
  5. Step 5: Solve for x
    x = 245,988,224,784/238,185
  6. Step 6: Final answer
    x = 1,032,761.19

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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.