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Finding the Third Proportional to 344,031 and 505,909.50

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Solution

The third proportional to 344,031 and 505,909.50 is: 743,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,031 : 505,909.50 = 505,909.50 : x
  2. Step 2: Convert to fraction form
    344,031/505,909.50 = 505,909.50/x
  3. Step 3: Cross multiply
    344,031x = 505,909.50 × 505,909.50
  4. Step 4: Simplify right side
    344,031x = 255,944,422,190.25
  5. Step 5: Solve for x
    x = 255,944,422,190.25/344,031
  6. Step 6: Final answer
    x = 743,957.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.