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Finding the Third Proportional to 327,276 and 717,012

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Solution

The third proportional to 327,276 and 717,012 is: 1,570,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,276 : 717,012 = 717,012 : x
  2. Step 2: Convert to fraction form
    327,276/717,012 = 717,012/x
  3. Step 3: Cross multiply
    327,276x = 717,012 × 717,012
  4. Step 4: Simplify right side
    327,276x = 514,106,208,144
  5. Step 5: Solve for x
    x = 514,106,208,144/327,276
  6. Step 6: Final answer
    x = 1,570,864.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.