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Finding the Third Proportional to 327,009 and 730,549.50

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Solution

The third proportional to 327,009 and 730,549.50 is: 1,632,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,009 : 730,549.50 = 730,549.50 : x
  2. Step 2: Convert to fraction form
    327,009/730,549.50 = 730,549.50/x
  3. Step 3: Cross multiply
    327,009x = 730,549.50 × 730,549.50
  4. Step 4: Simplify right side
    327,009x = 533,702,571,950.25
  5. Step 5: Solve for x
    x = 533,702,571,950.25/327,009
  6. Step 6: Final answer
    x = 1,632,073.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.