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Finding the Third Proportional to 327,036 and 701,358

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Solution

The third proportional to 327,036 and 701,358 is: 1,504,125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,036 : 701,358 = 701,358 : x
  2. Step 2: Convert to fraction form
    327,036/701,358 = 701,358/x
  3. Step 3: Cross multiply
    327,036x = 701,358 × 701,358
  4. Step 4: Simplify right side
    327,036x = 491,903,044,164
  5. Step 5: Solve for x
    x = 491,903,044,164/327,036
  6. Step 6: Final answer
    x = 1,504,125.06

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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.