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Finding the Third Proportional to 334,717 and 737,334

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Solution

The third proportional to 334,717 and 737,334 is: 1,624,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,717 : 737,334 = 737,334 : x
  2. Step 2: Convert to fraction form
    334,717/737,334 = 737,334/x
  3. Step 3: Cross multiply
    334,717x = 737,334 × 737,334
  4. Step 4: Simplify right side
    334,717x = 543,661,427,556
  5. Step 5: Solve for x
    x = 543,661,427,556/334,717
  6. Step 6: Final answer
    x = 1,624,242.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.