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Finding the Third Proportional to 364,464 and 799,116

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Solution

The third proportional to 364,464 and 799,116 is: 1,752,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,464 : 799,116 = 799,116 : x
  2. Step 2: Convert to fraction form
    364,464/799,116 = 799,116/x
  3. Step 3: Cross multiply
    364,464x = 799,116 × 799,116
  4. Step 4: Simplify right side
    364,464x = 638,586,381,456
  5. Step 5: Solve for x
    x = 638,586,381,456/364,464
  6. Step 6: Final answer
    x = 1,752,124.71

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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.