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Finding the Third Proportional to 330,974 and 524,325

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Solution

The third proportional to 330,974 and 524,325 is: 830,629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,974 : 524,325 = 524,325 : x
  2. Step 2: Convert to fraction form
    330,974/524,325 = 524,325/x
  3. Step 3: Cross multiply
    330,974x = 524,325 × 524,325
  4. Step 4: Simplify right side
    330,974x = 274,916,705,625
  5. Step 5: Solve for x
    x = 274,916,705,625/330,974
  6. Step 6: Final answer
    x = 830,629.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.