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Finding the Third Proportional to 327,725 and 700,985

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Solution

The third proportional to 327,725 and 700,985 is: 1,499,366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,725 : 700,985 = 700,985 : x
  2. Step 2: Convert to fraction form
    327,725/700,985 = 700,985/x
  3. Step 3: Cross multiply
    327,725x = 700,985 × 700,985
  4. Step 4: Simplify right side
    327,725x = 491,379,970,225
  5. Step 5: Solve for x
    x = 491,379,970,225/327,725
  6. Step 6: Final answer
    x = 1,499,366.76

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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.