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Finding the Third Proportional to 273,636 and 395,952

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Solution

The third proportional to 273,636 and 395,952 is: 572,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,636 : 395,952 = 395,952 : x
  2. Step 2: Convert to fraction form
    273,636/395,952 = 395,952/x
  3. Step 3: Cross multiply
    273,636x = 395,952 × 395,952
  4. Step 4: Simplify right side
    273,636x = 156,777,986,304
  5. Step 5: Solve for x
    x = 156,777,986,304/273,636
  6. Step 6: Final answer
    x = 572,943.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.