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Finding the Third Proportional to 191,412 and 412,074

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Solution

The third proportional to 191,412 and 412,074 is: 887,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,412 : 412,074 = 412,074 : x
  2. Step 2: Convert to fraction form
    191,412/412,074 = 412,074/x
  3. Step 3: Cross multiply
    191,412x = 412,074 × 412,074
  4. Step 4: Simplify right side
    191,412x = 169,804,981,476
  5. Step 5: Solve for x
    x = 169,804,981,476/191,412
  6. Step 6: Final answer
    x = 887,117.74

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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.