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Finding the Third Proportional to 337,511 and 734,206

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Solution

The third proportional to 337,511 and 734,206 is: 1,597,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,511 : 734,206 = 734,206 : x
  2. Step 2: Convert to fraction form
    337,511/734,206 = 734,206/x
  3. Step 3: Cross multiply
    337,511x = 734,206 × 734,206
  4. Step 4: Simplify right side
    337,511x = 539,058,450,436
  5. Step 5: Solve for x
    x = 539,058,450,436/337,511
  6. Step 6: Final answer
    x = 1,597,158.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.