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Finding the Third Proportional to 191,811 and 448,009

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Solution

The third proportional to 191,811 and 448,009 is: 1,046,405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,811 : 448,009 = 448,009 : x
  2. Step 2: Convert to fraction form
    191,811/448,009 = 448,009/x
  3. Step 3: Cross multiply
    191,811x = 448,009 × 448,009
  4. Step 4: Simplify right side
    191,811x = 200,712,064,081
  5. Step 5: Solve for x
    x = 200,712,064,081/191,811
  6. Step 6: Final answer
    x = 1,046,405.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.