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Finding the Third Proportional to 336,747 and 731,624

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Solution

The third proportional to 336,747 and 731,624 is: 1,589,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,747 : 731,624 = 731,624 : x
  2. Step 2: Convert to fraction form
    336,747/731,624 = 731,624/x
  3. Step 3: Cross multiply
    336,747x = 731,624 × 731,624
  4. Step 4: Simplify right side
    336,747x = 535,273,677,376
  5. Step 5: Solve for x
    x = 535,273,677,376/336,747
  6. Step 6: Final answer
    x = 1,589,542.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.