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Finding the Third Proportional to 191,576 and 407,392

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Solution

The third proportional to 191,576 and 407,392 is: 866,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,576 : 407,392 = 407,392 : x
  2. Step 2: Convert to fraction form
    191,576/407,392 = 407,392/x
  3. Step 3: Cross multiply
    191,576x = 407,392 × 407,392
  4. Step 4: Simplify right side
    191,576x = 165,968,241,664
  5. Step 5: Solve for x
    x = 165,968,241,664/191,576
  6. Step 6: Final answer
    x = 866,331.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.