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Finding the Third Proportional to 327,189.38 and 692,102.63

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Solution

The third proportional to 327,189.38 and 692,102.63 is: 1,464,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,189.38 : 692,102.63 = 692,102.63 : x
  2. Step 2: Convert to fraction form
    327,189.38/692,102.63 = 692,102.63/x
  3. Step 3: Cross multiply
    327,189.38x = 692,102.63 × 692,102.63
  4. Step 4: Simplify right side
    327,189.38x = 479,006,043,531.89
  5. Step 5: Solve for x
    x = 479,006,043,531.89/327,189.38
  6. Step 6: Final answer
    x = 1,464,002.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.