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Finding the Third Proportional to 238,072 and 495,870

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Solution

The third proportional to 238,072 and 495,870 is: 1,032,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,072 : 495,870 = 495,870 : x
  2. Step 2: Convert to fraction form
    238,072/495,870 = 495,870/x
  3. Step 3: Cross multiply
    238,072x = 495,870 × 495,870
  4. Step 4: Simplify right side
    238,072x = 245,887,056,900
  5. Step 5: Solve for x
    x = 245,887,056,900/238,072
  6. Step 6: Final answer
    x = 1,032,826.44

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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.