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Finding the Third Proportional to 334,939 and 722,353

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Solution

The third proportional to 334,939 and 722,353 is: 1,557,877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,939 : 722,353 = 722,353 : x
  2. Step 2: Convert to fraction form
    334,939/722,353 = 722,353/x
  3. Step 3: Cross multiply
    334,939x = 722,353 × 722,353
  4. Step 4: Simplify right side
    334,939x = 521,793,856,609
  5. Step 5: Solve for x
    x = 521,793,856,609/334,939
  6. Step 6: Final answer
    x = 1,557,877.27

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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.