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Finding the Third Proportional to 352,555 and 537,093

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Solution

The third proportional to 352,555 and 537,093 is: 818,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,555 : 537,093 = 537,093 : x
  2. Step 2: Convert to fraction form
    352,555/537,093 = 537,093/x
  3. Step 3: Cross multiply
    352,555x = 537,093 × 537,093
  4. Step 4: Simplify right side
    352,555x = 288,468,890,649
  5. Step 5: Solve for x
    x = 288,468,890,649/352,555
  6. Step 6: Final answer
    x = 818,223.80

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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.