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Finding the Third Proportional to 280,202 and 601,876

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Solution

The third proportional to 280,202 and 601,876 is: 1,292,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,202 : 601,876 = 601,876 : x
  2. Step 2: Convert to fraction form
    280,202/601,876 = 601,876/x
  3. Step 3: Cross multiply
    280,202x = 601,876 × 601,876
  4. Step 4: Simplify right side
    280,202x = 362,254,719,376
  5. Step 5: Solve for x
    x = 362,254,719,376/280,202
  6. Step 6: Final answer
    x = 1,292,834.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.