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Finding the Third Proportional to 334,938 and 722,351

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Solution

The third proportional to 334,938 and 722,351 is: 1,557,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,938 : 722,351 = 722,351 : x
  2. Step 2: Convert to fraction form
    334,938/722,351 = 722,351/x
  3. Step 3: Cross multiply
    334,938x = 722,351 × 722,351
  4. Step 4: Simplify right side
    334,938x = 521,790,967,201
  5. Step 5: Solve for x
    x = 521,790,967,201/334,938
  6. Step 6: Final answer
    x = 1,557,873.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.