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Finding the Third Proportional to 337,843 and 734,095

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Solution

The third proportional to 337,843 and 734,095 is: 1,595,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,843 : 734,095 = 734,095 : x
  2. Step 2: Convert to fraction form
    337,843/734,095 = 734,095/x
  3. Step 3: Cross multiply
    337,843x = 734,095 × 734,095
  4. Step 4: Simplify right side
    337,843x = 538,895,469,025
  5. Step 5: Solve for x
    x = 538,895,469,025/337,843
  6. Step 6: Final answer
    x = 1,595,106.22

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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.