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Finding the Third Proportional to 327,227.50 and 713,585

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Solution

The third proportional to 327,227.50 and 713,585 is: 1,556,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,227.50 : 713,585 = 713,585 : x
  2. Step 2: Convert to fraction form
    327,227.50/713,585 = 713,585/x
  3. Step 3: Cross multiply
    327,227.50x = 713,585 × 713,585
  4. Step 4: Simplify right side
    327,227.50x = 509,203,552,225
  5. Step 5: Solve for x
    x = 509,203,552,225/327,227.50
  6. Step 6: Final answer
    x = 1,556,114.79

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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.