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Finding the Third Proportional to 244,164.38 and 507,039.75

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Solution

The third proportional to 244,164.38 and 507,039.75 is: 1,052,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,164.38 : 507,039.75 = 507,039.75 : x
  2. Step 2: Convert to fraction form
    244,164.38/507,039.75 = 507,039.75/x
  3. Step 3: Cross multiply
    244,164.38x = 507,039.75 × 507,039.75
  4. Step 4: Simplify right side
    244,164.38x = 257,089,308,080.06
  5. Step 5: Solve for x
    x = 257,089,308,080.06/244,164.38
  6. Step 6: Final answer
    x = 1,052,935.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.