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Finding the Third Proportional to 337,850 and 734,505

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Solution

The third proportional to 337,850 and 734,505 is: 1,596,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,850 : 734,505 = 734,505 : x
  2. Step 2: Convert to fraction form
    337,850/734,505 = 734,505/x
  3. Step 3: Cross multiply
    337,850x = 734,505 × 734,505
  4. Step 4: Simplify right side
    337,850x = 539,497,595,025
  5. Step 5: Solve for x
    x = 539,497,595,025/337,850
  6. Step 6: Final answer
    x = 1,596,855.39

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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.