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Finding the Third Proportional to 352,392 and 536,850

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Solution

The third proportional to 352,392 and 536,850 is: 817,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,392 : 536,850 = 536,850 : x
  2. Step 2: Convert to fraction form
    352,392/536,850 = 536,850/x
  3. Step 3: Cross multiply
    352,392x = 536,850 × 536,850
  4. Step 4: Simplify right side
    352,392x = 288,207,922,500
  5. Step 5: Solve for x
    x = 288,207,922,500/352,392
  6. Step 6: Final answer
    x = 817,861.71

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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.