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Finding the Third Proportional to 282,723.75 and 614,533.50

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Solution

The third proportional to 282,723.75 and 614,533.50 is: 1,335,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,723.75 : 614,533.50 = 614,533.50 : x
  2. Step 2: Convert to fraction form
    282,723.75/614,533.50 = 614,533.50/x
  3. Step 3: Cross multiply
    282,723.75x = 614,533.50 × 614,533.50
  4. Step 4: Simplify right side
    282,723.75x = 377,651,422,622.25
  5. Step 5: Solve for x
    x = 377,651,422,622.25/282,723.75
  6. Step 6: Final answer
    x = 1,335,761.22

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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.