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Finding the Third Proportional to 366,972 and 559,945

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Solution

The third proportional to 366,972 and 559,945 is: 854,393.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,972 : 559,945 = 559,945 : x
  2. Step 2: Convert to fraction form
    366,972/559,945 = 559,945/x
  3. Step 3: Cross multiply
    366,972x = 559,945 × 559,945
  4. Step 4: Simplify right side
    366,972x = 313,538,403,025
  5. Step 5: Solve for x
    x = 313,538,403,025/366,972
  6. Step 6: Final answer
    x = 854,393.26

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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.