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Finding the Third Proportional to 305,330 and 467,061

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Solution

The third proportional to 305,330 and 467,061 is: 714,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,330 : 467,061 = 467,061 : x
  2. Step 2: Convert to fraction form
    305,330/467,061 = 467,061/x
  3. Step 3: Cross multiply
    305,330x = 467,061 × 467,061
  4. Step 4: Simplify right side
    305,330x = 218,145,977,721
  5. Step 5: Solve for x
    x = 218,145,977,721/305,330
  6. Step 6: Final answer
    x = 714,459.69

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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.