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Finding the Third Proportional to 282,622.50 and 614,328.75

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Solution

The third proportional to 282,622.50 and 614,328.75 is: 1,335,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,622.50 : 614,328.75 = 614,328.75 : x
  2. Step 2: Convert to fraction form
    282,622.50/614,328.75 = 614,328.75/x
  3. Step 3: Cross multiply
    282,622.50x = 614,328.75 × 614,328.75
  4. Step 4: Simplify right side
    282,622.50x = 377,399,813,076.56
  5. Step 5: Solve for x
    x = 377,399,813,076.56/282,622.50
  6. Step 6: Final answer
    x = 1,335,349.50

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