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Finding the Third Proportional to 282,786 and 608,916

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Solution

The third proportional to 282,786 and 608,916 is: 1,311,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,786 : 608,916 = 608,916 : x
  2. Step 2: Convert to fraction form
    282,786/608,916 = 608,916/x
  3. Step 3: Cross multiply
    282,786x = 608,916 × 608,916
  4. Step 4: Simplify right side
    282,786x = 370,778,695,056
  5. Step 5: Solve for x
    x = 370,778,695,056/282,786
  6. Step 6: Final answer
    x = 1,311,163.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.