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Finding the Third Proportional to 232,692 and 502,518

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Solution

The third proportional to 232,692 and 502,518 is: 1,085,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,692 : 502,518 = 502,518 : x
  2. Step 2: Convert to fraction form
    232,692/502,518 = 502,518/x
  3. Step 3: Cross multiply
    232,692x = 502,518 × 502,518
  4. Step 4: Simplify right side
    232,692x = 252,524,340,324
  5. Step 5: Solve for x
    x = 252,524,340,324/232,692
  6. Step 6: Final answer
    x = 1,085,230.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.