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Finding the Third Proportional to 303,652 and 482,511

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Solution

The third proportional to 303,652 and 482,511 is: 766,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,652 : 482,511 = 482,511 : x
  2. Step 2: Convert to fraction form
    303,652/482,511 = 482,511/x
  3. Step 3: Cross multiply
    303,652x = 482,511 × 482,511
  4. Step 4: Simplify right side
    303,652x = 232,816,865,121
  5. Step 5: Solve for x
    x = 232,816,865,121/303,652
  6. Step 6: Final answer
    x = 766,722.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.