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Finding the Third Proportional to 327,902 and 707,476

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Solution

The third proportional to 327,902 and 707,476 is: 1,526,438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,902 : 707,476 = 707,476 : x
  2. Step 2: Convert to fraction form
    327,902/707,476 = 707,476/x
  3. Step 3: Cross multiply
    327,902x = 707,476 × 707,476
  4. Step 4: Simplify right side
    327,902x = 500,522,290,576
  5. Step 5: Solve for x
    x = 500,522,290,576/327,902
  6. Step 6: Final answer
    x = 1,526,438.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.