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Finding the Third Proportional to 191,808 and 417,936

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Solution

The third proportional to 191,808 and 417,936 is: 910,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,808 : 417,936 = 417,936 : x
  2. Step 2: Convert to fraction form
    191,808/417,936 = 417,936/x
  3. Step 3: Cross multiply
    191,808x = 417,936 × 417,936
  4. Step 4: Simplify right side
    191,808x = 174,670,500,096
  5. Step 5: Solve for x
    x = 174,670,500,096/191,808
  6. Step 6: Final answer
    x = 910,652.84

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