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Finding the Third Proportional to 325,177 and 695,551

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Solution

The third proportional to 325,177 and 695,551 is: 1,487,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,177 : 695,551 = 695,551 : x
  2. Step 2: Convert to fraction form
    325,177/695,551 = 695,551/x
  3. Step 3: Cross multiply
    325,177x = 695,551 × 695,551
  4. Step 4: Simplify right side
    325,177x = 483,791,193,601
  5. Step 5: Solve for x
    x = 483,791,193,601/325,177
  6. Step 6: Final answer
    x = 1,487,778.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.