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Finding the Third Proportional to 334,309 and 729,551

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Solution

The third proportional to 334,309 and 729,551 is: 1,592,073.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,309 : 729,551 = 729,551 : x
  2. Step 2: Convert to fraction form
    334,309/729,551 = 729,551/x
  3. Step 3: Cross multiply
    334,309x = 729,551 × 729,551
  4. Step 4: Simplify right side
    334,309x = 532,244,661,601
  5. Step 5: Solve for x
    x = 532,244,661,601/334,309
  6. Step 6: Final answer
    x = 1,592,073.98

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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.