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Finding the Third Proportional to 280,760 and 614,008

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Solution

The third proportional to 280,760 and 614,008 is: 1,342,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,760 : 614,008 = 614,008 : x
  2. Step 2: Convert to fraction form
    280,760/614,008 = 614,008/x
  3. Step 3: Cross multiply
    280,760x = 614,008 × 614,008
  4. Step 4: Simplify right side
    280,760x = 377,005,824,064
  5. Step 5: Solve for x
    x = 377,005,824,064/280,760
  6. Step 6: Final answer
    x = 1,342,804.62

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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.