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Finding the Third Proportional to 190,532 and 407,296

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Solution

The third proportional to 190,532 and 407,296 is: 870,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,532 : 407,296 = 407,296 : x
  2. Step 2: Convert to fraction form
    190,532/407,296 = 407,296/x
  3. Step 3: Cross multiply
    190,532x = 407,296 × 407,296
  4. Step 4: Simplify right side
    190,532x = 165,890,031,616
  5. Step 5: Solve for x
    x = 165,890,031,616/190,532
  6. Step 6: Final answer
    x = 870,667.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.