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Finding the Third Proportional to 338,018 and 734,860

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Solution

The third proportional to 338,018 and 734,860 is: 1,597,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,018 : 734,860 = 734,860 : x
  2. Step 2: Convert to fraction form
    338,018/734,860 = 734,860/x
  3. Step 3: Cross multiply
    338,018x = 734,860 × 734,860
  4. Step 4: Simplify right side
    338,018x = 540,019,219,600
  5. Step 5: Solve for x
    x = 540,019,219,600/338,018
  6. Step 6: Final answer
    x = 1,597,604.92

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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.