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Finding the Third Proportional to 305,802 and 467,487

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Solution

The third proportional to 305,802 and 467,487 is: 714,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,802 : 467,487 = 467,487 : x
  2. Step 2: Convert to fraction form
    305,802/467,487 = 467,487/x
  3. Step 3: Cross multiply
    305,802x = 467,487 × 467,487
  4. Step 4: Simplify right side
    305,802x = 218,544,095,169
  5. Step 5: Solve for x
    x = 218,544,095,169/305,802
  6. Step 6: Final answer
    x = 714,658.82

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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.