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Finding the Third Proportional to 364,194 and 773,586

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Solution

The third proportional to 364,194 and 773,586 is: 1,643,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,194 : 773,586 = 773,586 : x
  2. Step 2: Convert to fraction form
    364,194/773,586 = 773,586/x
  3. Step 3: Cross multiply
    364,194x = 773,586 × 773,586
  4. Step 4: Simplify right side
    364,194x = 598,435,299,396
  5. Step 5: Solve for x
    x = 598,435,299,396/364,194
  6. Step 6: Final answer
    x = 1,643,177.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.