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Finding the Third Proportional to 280,665 and 599,967

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Solution

The third proportional to 280,665 and 599,967 is: 1,282,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,665 : 599,967 = 599,967 : x
  2. Step 2: Convert to fraction form
    280,665/599,967 = 599,967/x
  3. Step 3: Cross multiply
    280,665x = 599,967 × 599,967
  4. Step 4: Simplify right side
    280,665x = 359,960,401,089
  5. Step 5: Solve for x
    x = 359,960,401,089/280,665
  6. Step 6: Final answer
    x = 1,282,526.86

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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.