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Finding the Third Proportional to 336,865.50 and 729,807

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Solution

The third proportional to 336,865.50 and 729,807 is: 1,581,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,865.50 : 729,807 = 729,807 : x
  2. Step 2: Convert to fraction form
    336,865.50/729,807 = 729,807/x
  3. Step 3: Cross multiply
    336,865.50x = 729,807 × 729,807
  4. Step 4: Simplify right side
    336,865.50x = 532,618,257,249
  5. Step 5: Solve for x
    x = 532,618,257,249/336,865.50
  6. Step 6: Final answer
    x = 1,581,100.64

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Why These Related Problems?

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