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Finding the Third Proportional to 282,633 and 614,350.50

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Solution

The third proportional to 282,633 and 614,350.50 is: 1,335,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,633 : 614,350.50 = 614,350.50 : x
  2. Step 2: Convert to fraction form
    282,633/614,350.50 = 614,350.50/x
  3. Step 3: Cross multiply
    282,633x = 614,350.50 × 614,350.50
  4. Step 4: Simplify right side
    282,633x = 377,426,536,850.25
  5. Step 5: Solve for x
    x = 377,426,536,850.25/282,633
  6. Step 6: Final answer
    x = 1,335,394.44

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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.