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Finding the Third Proportional to 338,000 and 734,392

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Solution

The third proportional to 338,000 and 734,392 is: 1,595,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,000 : 734,392 = 734,392 : x
  2. Step 2: Convert to fraction form
    338,000/734,392 = 734,392/x
  3. Step 3: Cross multiply
    338,000x = 734,392 × 734,392
  4. Step 4: Simplify right side
    338,000x = 539,331,609,664
  5. Step 5: Solve for x
    x = 539,331,609,664/338,000
  6. Step 6: Final answer
    x = 1,595,655.65

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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.