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Finding the Third Proportional to 334,191 and 502,883

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Solution

The third proportional to 334,191 and 502,883 is: 756,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,191 : 502,883 = 502,883 : x
  2. Step 2: Convert to fraction form
    334,191/502,883 = 502,883/x
  3. Step 3: Cross multiply
    334,191x = 502,883 × 502,883
  4. Step 4: Simplify right side
    334,191x = 252,891,311,689
  5. Step 5: Solve for x
    x = 252,891,311,689/334,191
  6. Step 6: Final answer
    x = 756,726.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.