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Finding the Third Proportional to 280,759 and 614,006

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Solution

The third proportional to 280,759 and 614,006 is: 1,342,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,759 : 614,006 = 614,006 : x
  2. Step 2: Convert to fraction form
    280,759/614,006 = 614,006/x
  3. Step 3: Cross multiply
    280,759x = 614,006 × 614,006
  4. Step 4: Simplify right side
    280,759x = 377,003,368,036
  5. Step 5: Solve for x
    x = 377,003,368,036/280,759
  6. Step 6: Final answer
    x = 1,342,800.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.