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Finding the Third Proportional to 366,947 and 559,908

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Solution

The third proportional to 366,947 and 559,908 is: 854,338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,947 : 559,908 = 559,908 : x
  2. Step 2: Convert to fraction form
    366,947/559,908 = 559,908/x
  3. Step 3: Cross multiply
    366,947x = 559,908 × 559,908
  4. Step 4: Simplify right side
    366,947x = 313,496,968,464
  5. Step 5: Solve for x
    x = 313,496,968,464/366,947
  6. Step 6: Final answer
    x = 854,338.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.