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Finding the Third Proportional to 280,881 and 585,096

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Solution

The third proportional to 280,881 and 585,096 is: 1,218,798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,881 : 585,096 = 585,096 : x
  2. Step 2: Convert to fraction form
    280,881/585,096 = 585,096/x
  3. Step 3: Cross multiply
    280,881x = 585,096 × 585,096
  4. Step 4: Simplify right side
    280,881x = 342,337,329,216
  5. Step 5: Solve for x
    x = 342,337,329,216/280,881
  6. Step 6: Final answer
    x = 1,218,798.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.