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Finding the Third Proportional to 324,774 and 510,144

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Solution

The third proportional to 324,774 and 510,144 is: 801,316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,774 : 510,144 = 510,144 : x
  2. Step 2: Convert to fraction form
    324,774/510,144 = 510,144/x
  3. Step 3: Cross multiply
    324,774x = 510,144 × 510,144
  4. Step 4: Simplify right side
    324,774x = 260,246,900,736
  5. Step 5: Solve for x
    x = 260,246,900,736/324,774
  6. Step 6: Final answer
    x = 801,316.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.