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Finding the Third Proportional to 336,593 and 720,469

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Solution

The third proportional to 336,593 and 720,469 is: 1,542,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,593 : 720,469 = 720,469 : x
  2. Step 2: Convert to fraction form
    336,593/720,469 = 720,469/x
  3. Step 3: Cross multiply
    336,593x = 720,469 × 720,469
  4. Step 4: Simplify right side
    336,593x = 519,075,579,961
  5. Step 5: Solve for x
    x = 519,075,579,961/336,593
  6. Step 6: Final answer
    x = 1,542,146.09

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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.