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Finding the Third Proportional to 330,372 and 502,476.75

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Solution

The third proportional to 330,372 and 502,476.75 is: 764,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,372 : 502,476.75 = 502,476.75 : x
  2. Step 2: Convert to fraction form
    330,372/502,476.75 = 502,476.75/x
  3. Step 3: Cross multiply
    330,372x = 502,476.75 × 502,476.75
  4. Step 4: Simplify right side
    330,372x = 252,482,884,290.56
  5. Step 5: Solve for x
    x = 252,482,884,290.56/330,372
  6. Step 6: Final answer
    x = 764,238.14

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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.