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Finding the Third Proportional to 280,776 and 600,144

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Solution

The third proportional to 280,776 and 600,144 is: 1,282,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,776 : 600,144 = 600,144 : x
  2. Step 2: Convert to fraction form
    280,776/600,144 = 600,144/x
  3. Step 3: Cross multiply
    280,776x = 600,144 × 600,144
  4. Step 4: Simplify right side
    280,776x = 360,172,820,736
  5. Step 5: Solve for x
    x = 360,172,820,736/280,776
  6. Step 6: Final answer
    x = 1,282,776.38

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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.