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Finding the Third Proportional to 325,570 and 676,092

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Solution

The third proportional to 325,570 and 676,092 is: 1,404,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,570 : 676,092 = 676,092 : x
  2. Step 2: Convert to fraction form
    325,570/676,092 = 676,092/x
  3. Step 3: Cross multiply
    325,570x = 676,092 × 676,092
  4. Step 4: Simplify right side
    325,570x = 457,100,392,464
  5. Step 5: Solve for x
    x = 457,100,392,464/325,570
  6. Step 6: Final answer
    x = 1,404,000.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.