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Finding the Third Proportional to 334,651.50 and 502,713

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Solution

The third proportional to 334,651.50 and 502,713 is: 755,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,651.50 : 502,713 = 502,713 : x
  2. Step 2: Convert to fraction form
    334,651.50/502,713 = 502,713/x
  3. Step 3: Cross multiply
    334,651.50x = 502,713 × 502,713
  4. Step 4: Simplify right side
    334,651.50x = 252,720,360,369
  5. Step 5: Solve for x
    x = 252,720,360,369/334,651.50
  6. Step 6: Final answer
    x = 755,174.74

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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.