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Finding the Third Proportional to 336,909 and 729,838.50

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Solution

The third proportional to 336,909 and 729,838.50 is: 1,581,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,909 : 729,838.50 = 729,838.50 : x
  2. Step 2: Convert to fraction form
    336,909/729,838.50 = 729,838.50/x
  3. Step 3: Cross multiply
    336,909x = 729,838.50 × 729,838.50
  4. Step 4: Simplify right side
    336,909x = 532,664,236,082.25
  5. Step 5: Solve for x
    x = 532,664,236,082.25/336,909
  6. Step 6: Final answer
    x = 1,581,032.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.