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Finding the Third Proportional to 235,784 and 482,462

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Solution

The third proportional to 235,784 and 482,462 is: 987,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,784 : 482,462 = 482,462 : x
  2. Step 2: Convert to fraction form
    235,784/482,462 = 482,462/x
  3. Step 3: Cross multiply
    235,784x = 482,462 × 482,462
  4. Step 4: Simplify right side
    235,784x = 232,769,581,444
  5. Step 5: Solve for x
    x = 232,769,581,444/235,784
  6. Step 6: Final answer
    x = 987,215.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.