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Finding the Third Proportional to 240,401 and 512,967

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Solution

The third proportional to 240,401 and 512,967 is: 1,094,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,401 : 512,967 = 512,967 : x
  2. Step 2: Convert to fraction form
    240,401/512,967 = 512,967/x
  3. Step 3: Cross multiply
    240,401x = 512,967 × 512,967
  4. Step 4: Simplify right side
    240,401x = 263,135,143,089
  5. Step 5: Solve for x
    x = 263,135,143,089/240,401
  6. Step 6: Final answer
    x = 1,094,567.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.