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Finding the Third Proportional to 280,876 and 601,118

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Solution

The third proportional to 280,876 and 601,118 is: 1,286,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,876 : 601,118 = 601,118 : x
  2. Step 2: Convert to fraction form
    280,876/601,118 = 601,118/x
  3. Step 3: Cross multiply
    280,876x = 601,118 × 601,118
  4. Step 4: Simplify right side
    280,876x = 361,342,849,924
  5. Step 5: Solve for x
    x = 361,342,849,924/280,876
  6. Step 6: Final answer
    x = 1,286,485.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.