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Finding the Third Proportional to 336,889.50 and 729,841.50

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Solution

The third proportional to 336,889.50 and 729,841.50 is: 1,581,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,889.50 : 729,841.50 = 729,841.50 : x
  2. Step 2: Convert to fraction form
    336,889.50/729,841.50 = 729,841.50/x
  3. Step 3: Cross multiply
    336,889.50x = 729,841.50 × 729,841.50
  4. Step 4: Simplify right side
    336,889.50x = 532,668,615,122.25
  5. Step 5: Solve for x
    x = 532,668,615,122.25/336,889.50
  6. Step 6: Final answer
    x = 1,581,137.48

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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.