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Finding the Third Proportional to 282,619.50 and 614,325

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Solution

The third proportional to 282,619.50 and 614,325 is: 1,335,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,619.50 : 614,325 = 614,325 : x
  2. Step 2: Convert to fraction form
    282,619.50/614,325 = 614,325/x
  3. Step 3: Cross multiply
    282,619.50x = 614,325 × 614,325
  4. Step 4: Simplify right side
    282,619.50x = 377,395,205,625
  5. Step 5: Solve for x
    x = 377,395,205,625/282,619.50
  6. Step 6: Final answer
    x = 1,335,347.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.