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Finding the Third Proportional to 305,264 and 467,008

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Solution

The third proportional to 305,264 and 467,008 is: 714,451.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,264 : 467,008 = 467,008 : x
  2. Step 2: Convert to fraction form
    305,264/467,008 = 467,008/x
  3. Step 3: Cross multiply
    305,264x = 467,008 × 467,008
  4. Step 4: Simplify right side
    305,264x = 218,096,472,064
  5. Step 5: Solve for x
    x = 218,096,472,064/305,264
  6. Step 6: Final answer
    x = 714,451.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.