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Finding the Third Proportional to 327,299.64 and 507,975.60

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Solution

The third proportional to 327,299.64 and 507,975.60 is: 788,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,299.64 : 507,975.60 = 507,975.60 : x
  2. Step 2: Convert to fraction form
    327,299.64/507,975.60 = 507,975.60/x
  3. Step 3: Cross multiply
    327,299.64x = 507,975.60 × 507,975.60
  4. Step 4: Simplify right side
    327,299.64x = 258,039,210,790.66
  5. Step 5: Solve for x
    x = 258,039,210,790.66/327,299.64
  6. Step 6: Final answer
    x = 788,388.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.