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Finding the Third Proportional to 334,261.69 and 502,993.13

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Solution

The third proportional to 334,261.69 and 502,993.13 is: 756,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,261.69 : 502,993.13 = 502,993.13 : x
  2. Step 2: Convert to fraction form
    334,261.69/502,993.13 = 502,993.13/x
  3. Step 3: Cross multiply
    334,261.69x = 502,993.13 × 502,993.13
  4. Step 4: Simplify right side
    334,261.69x = 253,002,083,797.27
  5. Step 5: Solve for x
    x = 253,002,083,797.27/334,261.69
  6. Step 6: Final answer
    x = 756,898.24

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