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Finding the Third Proportional to 352,567 and 537,116

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Solution

The third proportional to 352,567 and 537,116 is: 818,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,567 : 537,116 = 537,116 : x
  2. Step 2: Convert to fraction form
    352,567/537,116 = 537,116/x
  3. Step 3: Cross multiply
    352,567x = 537,116 × 537,116
  4. Step 4: Simplify right side
    352,567x = 288,493,597,456
  5. Step 5: Solve for x
    x = 288,493,597,456/352,567
  6. Step 6: Final answer
    x = 818,266.02

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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.