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Finding the Third Proportional to 364,413 and 795,144

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Solution

The third proportional to 364,413 and 795,144 is: 1,734,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,413 : 795,144 = 795,144 : x
  2. Step 2: Convert to fraction form
    364,413/795,144 = 795,144/x
  3. Step 3: Cross multiply
    364,413x = 795,144 × 795,144
  4. Step 4: Simplify right side
    364,413x = 632,253,980,736
  5. Step 5: Solve for x
    x = 632,253,980,736/364,413
  6. Step 6: Final answer
    x = 1,734,992.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.