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Finding the Third Proportional to 269,787.38 and 395,933.06

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Solution

The third proportional to 269,787.38 and 395,933.06 is: 581,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,787.38 : 395,933.06 = 395,933.06 : x
  2. Step 2: Convert to fraction form
    269,787.38/395,933.06 = 395,933.06/x
  3. Step 3: Cross multiply
    269,787.38x = 395,933.06 × 395,933.06
  4. Step 4: Simplify right side
    269,787.38x = 156,762,989,980.63
  5. Step 5: Solve for x
    x = 156,762,989,980.63/269,787.38
  6. Step 6: Final answer
    x = 581,061.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.