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Finding the Third Proportional to 337,888 and 734,192

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Solution

The third proportional to 337,888 and 734,192 is: 1,595,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,888 : 734,192 = 734,192 : x
  2. Step 2: Convert to fraction form
    337,888/734,192 = 734,192/x
  3. Step 3: Cross multiply
    337,888x = 734,192 × 734,192
  4. Step 4: Simplify right side
    337,888x = 539,037,892,864
  5. Step 5: Solve for x
    x = 539,037,892,864/337,888
  6. Step 6: Final answer
    x = 1,595,315.29

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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.