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Finding the Third Proportional to 191,646 and 409,563

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Solution

The third proportional to 191,646 and 409,563 is: 875,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,646 : 409,563 = 409,563 : x
  2. Step 2: Convert to fraction form
    191,646/409,563 = 409,563/x
  3. Step 3: Cross multiply
    191,646x = 409,563 × 409,563
  4. Step 4: Simplify right side
    191,646x = 167,741,850,969
  5. Step 5: Solve for x
    x = 167,741,850,969/191,646
  6. Step 6: Final answer
    x = 875,269.25

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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.