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Finding the Third Proportional to 191,946 and 413,052

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Solution

The third proportional to 191,946 and 413,052 is: 888,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,946 : 413,052 = 413,052 : x
  2. Step 2: Convert to fraction form
    191,946/413,052 = 413,052/x
  3. Step 3: Cross multiply
    191,946x = 413,052 × 413,052
  4. Step 4: Simplify right side
    191,946x = 170,611,954,704
  5. Step 5: Solve for x
    x = 170,611,954,704/191,946
  6. Step 6: Final answer
    x = 888,853.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.