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Finding the Third Proportional to 232,828.50 and 511,377

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Solution

The third proportional to 232,828.50 and 511,377 is: 1,123,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,828.50 : 511,377 = 511,377 : x
  2. Step 2: Convert to fraction form
    232,828.50/511,377 = 511,377/x
  3. Step 3: Cross multiply
    232,828.50x = 511,377 × 511,377
  4. Step 4: Simplify right side
    232,828.50x = 261,506,436,129
  5. Step 5: Solve for x
    x = 261,506,436,129/232,828.50
  6. Step 6: Final answer
    x = 1,123,171.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.