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Finding the Third Proportional to 338,596 and 735,511

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Solution

The third proportional to 338,596 and 735,511 is: 1,597,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,596 : 735,511 = 735,511 : x
  2. Step 2: Convert to fraction form
    338,596/735,511 = 735,511/x
  3. Step 3: Cross multiply
    338,596x = 735,511 × 735,511
  4. Step 4: Simplify right side
    338,596x = 540,976,431,121
  5. Step 5: Solve for x
    x = 540,976,431,121/338,596
  6. Step 6: Final answer
    x = 1,597,704.73

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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.