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Finding the Third Proportional to 336,975 and 735,699

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Solution

The third proportional to 336,975 and 735,699 is: 1,606,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,975 : 735,699 = 735,699 : x
  2. Step 2: Convert to fraction form
    336,975/735,699 = 735,699/x
  3. Step 3: Cross multiply
    336,975x = 735,699 × 735,699
  4. Step 4: Simplify right side
    336,975x = 541,253,018,601
  5. Step 5: Solve for x
    x = 541,253,018,601/336,975
  6. Step 6: Final answer
    x = 1,606,211.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.