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Finding the Third Proportional to 303,649.50 and 482,508

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Solution

The third proportional to 303,649.50 and 482,508 is: 766,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,649.50 : 482,508 = 482,508 : x
  2. Step 2: Convert to fraction form
    303,649.50/482,508 = 482,508/x
  3. Step 3: Cross multiply
    303,649.50x = 482,508 × 482,508
  4. Step 4: Simplify right side
    303,649.50x = 232,813,970,064
  5. Step 5: Solve for x
    x = 232,813,970,064/303,649.50
  6. Step 6: Final answer
    x = 766,719.43

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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.