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Finding the Third Proportional to 352,558 and 537,098

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Solution

The third proportional to 352,558 and 537,098 is: 818,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,558 : 537,098 = 537,098 : x
  2. Step 2: Convert to fraction form
    352,558/537,098 = 537,098/x
  3. Step 3: Cross multiply
    352,558x = 537,098 × 537,098
  4. Step 4: Simplify right side
    352,558x = 288,474,261,604
  5. Step 5: Solve for x
    x = 288,474,261,604/352,558
  6. Step 6: Final answer
    x = 818,232.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.