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Finding the Third Proportional to 324,906 and 505,025

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Solution

The third proportional to 324,906 and 505,025 is: 784,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,906 : 505,025 = 505,025 : x
  2. Step 2: Convert to fraction form
    324,906/505,025 = 505,025/x
  3. Step 3: Cross multiply
    324,906x = 505,025 × 505,025
  4. Step 4: Simplify right side
    324,906x = 255,050,250,625
  5. Step 5: Solve for x
    x = 255,050,250,625/324,906
  6. Step 6: Final answer
    x = 784,997.05

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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.