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Finding the Third Proportional to 350,706 and 755,496

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Solution

The third proportional to 350,706 and 755,496 is: 1,627,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,706 : 755,496 = 755,496 : x
  2. Step 2: Convert to fraction form
    350,706/755,496 = 755,496/x
  3. Step 3: Cross multiply
    350,706x = 755,496 × 755,496
  4. Step 4: Simplify right side
    350,706x = 570,774,206,016
  5. Step 5: Solve for x
    x = 570,774,206,016/350,706
  6. Step 6: Final answer
    x = 1,627,500.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.