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Finding the Third Proportional to 324,942 and 505,132.50

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Solution

The third proportional to 324,942 and 505,132.50 is: 785,244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,942 : 505,132.50 = 505,132.50 : x
  2. Step 2: Convert to fraction form
    324,942/505,132.50 = 505,132.50/x
  3. Step 3: Cross multiply
    324,942x = 505,132.50 × 505,132.50
  4. Step 4: Simplify right side
    324,942x = 255,158,842,556.25
  5. Step 5: Solve for x
    x = 255,158,842,556.25/324,942
  6. Step 6: Final answer
    x = 785,244.27

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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.