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Finding the Third Proportional to 193,624.17 and 419,415.47

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Solution

The third proportional to 193,624.17 and 419,415.47 is: 908,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,624.17 : 419,415.47 = 419,415.47 : x
  2. Step 2: Convert to fraction form
    193,624.17/419,415.47 = 419,415.47/x
  3. Step 3: Cross multiply
    193,624.17x = 419,415.47 × 419,415.47
  4. Step 4: Simplify right side
    193,624.17x = 175,909,335,426.78
  5. Step 5: Solve for x
    x = 175,909,335,426.78/193,624.17
  6. Step 6: Final answer
    x = 908,509.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.