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Finding the Third Proportional to 336,880.69 and 729,825.19

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Solution

The third proportional to 336,880.69 and 729,825.19 is: 1,581,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,880.69 : 729,825.19 = 729,825.19 : x
  2. Step 2: Convert to fraction form
    336,880.69/729,825.19 = 729,825.19/x
  3. Step 3: Cross multiply
    336,880.69x = 729,825.19 × 729,825.19
  4. Step 4: Simplify right side
    336,880.69x = 532,644,804,309.41
  5. Step 5: Solve for x
    x = 532,644,804,309.41/336,880.69
  6. Step 6: Final answer
    x = 1,581,108.16

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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.