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Finding the Third Proportional to 339,035 and 525,293

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Solution

The third proportional to 339,035 and 525,293 is: 813,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,035 : 525,293 = 525,293 : x
  2. Step 2: Convert to fraction form
    339,035/525,293 = 525,293/x
  3. Step 3: Cross multiply
    339,035x = 525,293 × 525,293
  4. Step 4: Simplify right side
    339,035x = 275,932,735,849
  5. Step 5: Solve for x
    x = 275,932,735,849/339,035
  6. Step 6: Final answer
    x = 813,876.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.