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Finding the Third Proportional to 338,444 and 721,924

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Solution

The third proportional to 338,444 and 721,924 is: 1,539,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,444 : 721,924 = 721,924 : x
  2. Step 2: Convert to fraction form
    338,444/721,924 = 721,924/x
  3. Step 3: Cross multiply
    338,444x = 721,924 × 721,924
  4. Step 4: Simplify right side
    338,444x = 521,174,261,776
  5. Step 5: Solve for x
    x = 521,174,261,776/338,444
  6. Step 6: Final answer
    x = 1,539,912.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.