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Finding the Third Proportional to 349,938 and 723,204

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Solution

The third proportional to 349,938 and 723,204 is: 1,494,619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,938 : 723,204 = 723,204 : x
  2. Step 2: Convert to fraction form
    349,938/723,204 = 723,204/x
  3. Step 3: Cross multiply
    349,938x = 723,204 × 723,204
  4. Step 4: Simplify right side
    349,938x = 523,024,025,616
  5. Step 5: Solve for x
    x = 523,024,025,616/349,938
  6. Step 6: Final answer
    x = 1,494,619.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.