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Finding the Third Proportional to 336,598 and 720,477

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Solution

The third proportional to 336,598 and 720,477 is: 1,542,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,598 : 720,477 = 720,477 : x
  2. Step 2: Convert to fraction form
    336,598/720,477 = 720,477/x
  3. Step 3: Cross multiply
    336,598x = 720,477 × 720,477
  4. Step 4: Simplify right side
    336,598x = 519,087,107,529
  5. Step 5: Solve for x
    x = 519,087,107,529/336,598
  6. Step 6: Final answer
    x = 1,542,157.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.