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Finding the Third Proportional to 305,284 and 449,092

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Solution

The third proportional to 305,284 and 449,092 is: 660,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,284 : 449,092 = 449,092 : x
  2. Step 2: Convert to fraction form
    305,284/449,092 = 449,092/x
  3. Step 3: Cross multiply
    305,284x = 449,092 × 449,092
  4. Step 4: Simplify right side
    305,284x = 201,683,624,464
  5. Step 5: Solve for x
    x = 201,683,624,464/305,284
  6. Step 6: Final answer
    x = 660,642.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.