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Finding the Third Proportional to 324,943 and 505,134

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Solution

The third proportional to 324,943 and 505,134 is: 785,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,943 : 505,134 = 505,134 : x
  2. Step 2: Convert to fraction form
    324,943/505,134 = 505,134/x
  3. Step 3: Cross multiply
    324,943x = 505,134 × 505,134
  4. Step 4: Simplify right side
    324,943x = 255,160,357,956
  5. Step 5: Solve for x
    x = 255,160,357,956/324,943
  6. Step 6: Final answer
    x = 785,246.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.