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Finding the Third Proportional to 366,961 and 559,929

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Solution

The third proportional to 366,961 and 559,929 is: 854,370.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,961 : 559,929 = 559,929 : x
  2. Step 2: Convert to fraction form
    366,961/559,929 = 559,929/x
  3. Step 3: Cross multiply
    366,961x = 559,929 × 559,929
  4. Step 4: Simplify right side
    366,961x = 313,520,485,041
  5. Step 5: Solve for x
    x = 313,520,485,041/366,961
  6. Step 6: Final answer
    x = 854,370.04

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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.