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Finding the Third Proportional to 327,095 and 693,034

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Solution

The third proportional to 327,095 and 693,034 is: 1,468,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,095 : 693,034 = 693,034 : x
  2. Step 2: Convert to fraction form
    327,095/693,034 = 693,034/x
  3. Step 3: Cross multiply
    327,095x = 693,034 × 693,034
  4. Step 4: Simplify right side
    327,095x = 480,296,125,156
  5. Step 5: Solve for x
    x = 480,296,125,156/327,095
  6. Step 6: Final answer
    x = 1,468,368.90

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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.