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Finding the Third Proportional to 240,462 and 375,249

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Solution

The third proportional to 240,462 and 375,249 is: 585,588.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,462 : 375,249 = 375,249 : x
  2. Step 2: Convert to fraction form
    240,462/375,249 = 375,249/x
  3. Step 3: Cross multiply
    240,462x = 375,249 × 375,249
  4. Step 4: Simplify right side
    240,462x = 140,811,812,001
  5. Step 5: Solve for x
    x = 140,811,812,001/240,462
  6. Step 6: Final answer
    x = 585,588.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.