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Finding the Third Proportional to 364,406 and 799,012

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Solution

The third proportional to 364,406 and 799,012 is: 1,751,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,406 : 799,012 = 799,012 : x
  2. Step 2: Convert to fraction form
    364,406/799,012 = 799,012/x
  3. Step 3: Cross multiply
    364,406x = 799,012 × 799,012
  4. Step 4: Simplify right side
    364,406x = 638,420,176,144
  5. Step 5: Solve for x
    x = 638,420,176,144/364,406
  6. Step 6: Final answer
    x = 1,751,947.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.