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Finding the Third Proportional to 280,434 and 606,084

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Solution

The third proportional to 280,434 and 606,084 is: 1,309,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,434 : 606,084 = 606,084 : x
  2. Step 2: Convert to fraction form
    280,434/606,084 = 606,084/x
  3. Step 3: Cross multiply
    280,434x = 606,084 × 606,084
  4. Step 4: Simplify right side
    280,434x = 367,337,815,056
  5. Step 5: Solve for x
    x = 367,337,815,056/280,434
  6. Step 6: Final answer
    x = 1,309,890.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.