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Finding the Third Proportional to 191,036 and 417,064

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Solution

The third proportional to 191,036 and 417,064 is: 910,521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,036 : 417,064 = 417,064 : x
  2. Step 2: Convert to fraction form
    191,036/417,064 = 417,064/x
  3. Step 3: Cross multiply
    191,036x = 417,064 × 417,064
  4. Step 4: Simplify right side
    191,036x = 173,942,380,096
  5. Step 5: Solve for x
    x = 173,942,380,096/191,036
  6. Step 6: Final answer
    x = 910,521.47

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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.