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Finding the Third Proportional to 191,739 and 412,911

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Solution

The third proportional to 191,739 and 412,911 is: 889,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,739 : 412,911 = 412,911 : x
  2. Step 2: Convert to fraction form
    191,739/412,911 = 412,911/x
  3. Step 3: Cross multiply
    191,739x = 412,911 × 412,911
  4. Step 4: Simplify right side
    191,739x = 170,495,493,921
  5. Step 5: Solve for x
    x = 170,495,493,921/191,739
  6. Step 6: Final answer
    x = 889,206.13

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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.