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Finding the Third Proportional to 282,784 and 608,912

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Solution

The third proportional to 282,784 and 608,912 is: 1,311,155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,784 : 608,912 = 608,912 : x
  2. Step 2: Convert to fraction form
    282,784/608,912 = 608,912/x
  3. Step 3: Cross multiply
    282,784x = 608,912 × 608,912
  4. Step 4: Simplify right side
    282,784x = 370,773,823,744
  5. Step 5: Solve for x
    x = 370,773,823,744/282,784
  6. Step 6: Final answer
    x = 1,311,155.59

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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.