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Finding the Third Proportional to 305,061 and 463,811

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Solution

The third proportional to 305,061 and 463,811 is: 705,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,061 : 463,811 = 463,811 : x
  2. Step 2: Convert to fraction form
    305,061/463,811 = 463,811/x
  3. Step 3: Cross multiply
    305,061x = 463,811 × 463,811
  4. Step 4: Simplify right side
    305,061x = 215,120,643,721
  5. Step 5: Solve for x
    x = 215,120,643,721/305,061
  6. Step 6: Final answer
    x = 705,172.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.