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Finding the Third Proportional to 336,372 and 735,880

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Solution

The third proportional to 336,372 and 735,880 is: 1,609,882.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,372 : 735,880 = 735,880 : x
  2. Step 2: Convert to fraction form
    336,372/735,880 = 735,880/x
  3. Step 3: Cross multiply
    336,372x = 735,880 × 735,880
  4. Step 4: Simplify right side
    336,372x = 541,519,374,400
  5. Step 5: Solve for x
    x = 541,519,374,400/336,372
  6. Step 6: Final answer
    x = 1,609,882.43

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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.