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Finding the Third Proportional to 329,444 and 721,925

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Solution

The third proportional to 329,444 and 721,925 is: 1,581,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,444 : 721,925 = 721,925 : x
  2. Step 2: Convert to fraction form
    329,444/721,925 = 721,925/x
  3. Step 3: Cross multiply
    329,444x = 721,925 × 721,925
  4. Step 4: Simplify right side
    329,444x = 521,175,705,625
  5. Step 5: Solve for x
    x = 521,175,705,625/329,444
  6. Step 6: Final answer
    x = 1,581,985.73

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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.