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Finding the Third Proportional to 337,839 and 734,088

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Solution

The third proportional to 337,839 and 734,088 is: 1,595,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,839 : 734,088 = 734,088 : x
  2. Step 2: Convert to fraction form
    337,839/734,088 = 734,088/x
  3. Step 3: Cross multiply
    337,839x = 734,088 × 734,088
  4. Step 4: Simplify right side
    337,839x = 538,885,191,744
  5. Step 5: Solve for x
    x = 538,885,191,744/337,839
  6. Step 6: Final answer
    x = 1,595,094.68

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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.