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Finding the Third Proportional to 327,769.50 and 713,221

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Solution

The third proportional to 327,769.50 and 713,221 is: 1,551,957.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,769.50 : 713,221 = 713,221 : x
  2. Step 2: Convert to fraction form
    327,769.50/713,221 = 713,221/x
  3. Step 3: Cross multiply
    327,769.50x = 713,221 × 713,221
  4. Step 4: Simplify right side
    327,769.50x = 508,684,194,841
  5. Step 5: Solve for x
    x = 508,684,194,841/327,769.50
  6. Step 6: Final answer
    x = 1,551,957.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.