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Finding the Third Proportional to 191,842 and 417,742

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Solution

The third proportional to 191,842 and 417,742 is: 909,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,842 : 417,742 = 417,742 : x
  2. Step 2: Convert to fraction form
    191,842/417,742 = 417,742/x
  3. Step 3: Cross multiply
    191,842x = 417,742 × 417,742
  4. Step 4: Simplify right side
    191,842x = 174,508,378,564
  5. Step 5: Solve for x
    x = 174,508,378,564/191,842
  6. Step 6: Final answer
    x = 909,646.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.