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Finding the Third Proportional to 282,690.75 and 616,212.75

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Solution

The third proportional to 282,690.75 and 616,212.75 is: 1,343,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,690.75 : 616,212.75 = 616,212.75 : x
  2. Step 2: Convert to fraction form
    282,690.75/616,212.75 = 616,212.75/x
  3. Step 3: Cross multiply
    282,690.75x = 616,212.75 × 616,212.75
  4. Step 4: Simplify right side
    282,690.75x = 379,718,153,262.56
  5. Step 5: Solve for x
    x = 379,718,153,262.56/282,690.75
  6. Step 6: Final answer
    x = 1,343,228.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.