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Finding the Third Proportional to 334,969 and 502,514

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Solution

The third proportional to 334,969 and 502,514 is: 753,861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,969 : 502,514 = 502,514 : x
  2. Step 2: Convert to fraction form
    334,969/502,514 = 502,514/x
  3. Step 3: Cross multiply
    334,969x = 502,514 × 502,514
  4. Step 4: Simplify right side
    334,969x = 252,520,320,196
  5. Step 5: Solve for x
    x = 252,520,320,196/334,969
  6. Step 6: Final answer
    x = 753,861.76

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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.