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Finding the Third Proportional to 330,724 and 524,372

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Solution

The third proportional to 330,724 and 524,372 is: 831,406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,724 : 524,372 = 524,372 : x
  2. Step 2: Convert to fraction form
    330,724/524,372 = 524,372/x
  3. Step 3: Cross multiply
    330,724x = 524,372 × 524,372
  4. Step 4: Simplify right side
    330,724x = 274,965,994,384
  5. Step 5: Solve for x
    x = 274,965,994,384/330,724
  6. Step 6: Final answer
    x = 831,406.23

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.