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Finding the Third Proportional to 336,298.50 and 491,514.75

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Solution

The third proportional to 336,298.50 and 491,514.75 is: 718,369.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,298.50 : 491,514.75 = 491,514.75 : x
  2. Step 2: Convert to fraction form
    336,298.50/491,514.75 = 491,514.75/x
  3. Step 3: Cross multiply
    336,298.50x = 491,514.75 × 491,514.75
  4. Step 4: Simplify right side
    336,298.50x = 241,586,749,467.56
  5. Step 5: Solve for x
    x = 241,586,749,467.56/336,298.50
  6. Step 6: Final answer
    x = 718,369.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.