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Finding the Third Proportional to 344,043 and 729,882

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Solution

The third proportional to 344,043 and 729,882 is: 1,548,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,043 : 729,882 = 729,882 : x
  2. Step 2: Convert to fraction form
    344,043/729,882 = 729,882/x
  3. Step 3: Cross multiply
    344,043x = 729,882 × 729,882
  4. Step 4: Simplify right side
    344,043x = 532,727,733,924
  5. Step 5: Solve for x
    x = 532,727,733,924/344,043
  6. Step 6: Final answer
    x = 1,548,433.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.