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Finding the Third Proportional to 340,632 and 739,219

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Solution

The third proportional to 340,632 and 739,219 is: 1,604,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,632 : 739,219 = 739,219 : x
  2. Step 2: Convert to fraction form
    340,632/739,219 = 739,219/x
  3. Step 3: Cross multiply
    340,632x = 739,219 × 739,219
  4. Step 4: Simplify right side
    340,632x = 546,444,729,961
  5. Step 5: Solve for x
    x = 546,444,729,961/340,632
  6. Step 6: Final answer
    x = 1,604,208.44

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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.