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Finding the Third Proportional to 280,781 and 600,154

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Solution

The third proportional to 280,781 and 600,154 is: 1,282,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,781 : 600,154 = 600,154 : x
  2. Step 2: Convert to fraction form
    280,781/600,154 = 600,154/x
  3. Step 3: Cross multiply
    280,781x = 600,154 × 600,154
  4. Step 4: Simplify right side
    280,781x = 360,184,823,716
  5. Step 5: Solve for x
    x = 360,184,823,716/280,781
  6. Step 6: Final answer
    x = 1,282,796.29

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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.