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Finding the Third Proportional to 505,449 and 760,225.50

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Solution

The third proportional to 505,449 and 760,225.50 is: 1,143,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,449 : 760,225.50 = 760,225.50 : x
  2. Step 2: Convert to fraction form
    505,449/760,225.50 = 760,225.50/x
  3. Step 3: Cross multiply
    505,449x = 760,225.50 × 760,225.50
  4. Step 4: Simplify right side
    505,449x = 577,942,810,850.25
  5. Step 5: Solve for x
    x = 577,942,810,850.25/505,449
  6. Step 6: Final answer
    x = 1,143,424.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.