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Finding the Third Proportional to 330,366 and 502,473

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Solution

The third proportional to 330,366 and 502,473 is: 764,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,366 : 502,473 = 502,473 : x
  2. Step 2: Convert to fraction form
    330,366/502,473 = 502,473/x
  3. Step 3: Cross multiply
    330,366x = 502,473 × 502,473
  4. Step 4: Simplify right side
    330,366x = 252,479,115,729
  5. Step 5: Solve for x
    x = 252,479,115,729/330,366
  6. Step 6: Final answer
    x = 764,240.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.