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Finding the Third Proportional to 280,494 and 608,004

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Solution

The third proportional to 280,494 and 608,004 is: 1,317,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,494 : 608,004 = 608,004 : x
  2. Step 2: Convert to fraction form
    280,494/608,004 = 608,004/x
  3. Step 3: Cross multiply
    280,494x = 608,004 × 608,004
  4. Step 4: Simplify right side
    280,494x = 369,668,864,016
  5. Step 5: Solve for x
    x = 369,668,864,016/280,494
  6. Step 6: Final answer
    x = 1,317,920.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.