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Finding the Third Proportional to 252,361 and 387,896

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Solution

The third proportional to 252,361 and 387,896 is: 596,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,361 : 387,896 = 387,896 : x
  2. Step 2: Convert to fraction form
    252,361/387,896 = 387,896/x
  3. Step 3: Cross multiply
    252,361x = 387,896 × 387,896
  4. Step 4: Simplify right side
    252,361x = 150,463,306,816
  5. Step 5: Solve for x
    x = 150,463,306,816/252,361
  6. Step 6: Final answer
    x = 596,222.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.