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Finding the Third Proportional to 334,232.55 and 729,712.49

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Solution

The third proportional to 334,232.55 and 729,712.49 is: 1,593,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,232.55 : 729,712.49 = 729,712.49 : x
  2. Step 2: Convert to fraction form
    334,232.55/729,712.49 = 729,712.49/x
  3. Step 3: Cross multiply
    334,232.55x = 729,712.49 × 729,712.49
  4. Step 4: Simplify right side
    334,232.55x = 532,480,324,104.90
  5. Step 5: Solve for x
    x = 532,480,324,104.90/334,232.55
  6. Step 6: Final answer
    x = 1,593,143.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.