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Finding the Third Proportional to 329,817 and 722,757

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Solution

The third proportional to 329,817 and 722,757 is: 1,583,840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,817 : 722,757 = 722,757 : x
  2. Step 2: Convert to fraction form
    329,817/722,757 = 722,757/x
  3. Step 3: Cross multiply
    329,817x = 722,757 × 722,757
  4. Step 4: Simplify right side
    329,817x = 522,377,681,049
  5. Step 5: Solve for x
    x = 522,377,681,049/329,817
  6. Step 6: Final answer
    x = 1,583,840.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.