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Finding the Third Proportional to 240,728 and 482,392

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Solution

The third proportional to 240,728 and 482,392 is: 966,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,728 : 482,392 = 482,392 : x
  2. Step 2: Convert to fraction form
    240,728/482,392 = 482,392/x
  3. Step 3: Cross multiply
    240,728x = 482,392 × 482,392
  4. Step 4: Simplify right side
    240,728x = 232,702,041,664
  5. Step 5: Solve for x
    x = 232,702,041,664/240,728
  6. Step 6: Final answer
    x = 966,659.64

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.