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Finding the Third Proportional to 336,272 and 735,704

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Solution

The third proportional to 336,272 and 735,704 is: 1,609,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,272 : 735,704 = 735,704 : x
  2. Step 2: Convert to fraction form
    336,272/735,704 = 735,704/x
  3. Step 3: Cross multiply
    336,272x = 735,704 × 735,704
  4. Step 4: Simplify right side
    336,272x = 541,260,375,616
  5. Step 5: Solve for x
    x = 541,260,375,616/336,272
  6. Step 6: Final answer
    x = 1,609,590.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.