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Finding the Third Proportional to 340,932 and 734,192

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Solution

The third proportional to 340,932 and 734,192 is: 1,581,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,932 : 734,192 = 734,192 : x
  2. Step 2: Convert to fraction form
    340,932/734,192 = 734,192/x
  3. Step 3: Cross multiply
    340,932x = 734,192 × 734,192
  4. Step 4: Simplify right side
    340,932x = 539,037,892,864
  5. Step 5: Solve for x
    x = 539,037,892,864/340,932
  6. Step 6: Final answer
    x = 1,581,071.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.