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Finding the Third Proportional to 303,264 and 462,240

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Solution

The third proportional to 303,264 and 462,240 is: 704,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,264 : 462,240 = 462,240 : x
  2. Step 2: Convert to fraction form
    303,264/462,240 = 462,240/x
  3. Step 3: Cross multiply
    303,264x = 462,240 × 462,240
  4. Step 4: Simplify right side
    303,264x = 213,665,817,600
  5. Step 5: Solve for x
    x = 213,665,817,600/303,264
  6. Step 6: Final answer
    x = 704,553.85

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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.