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Finding the Third Proportional to 338,040 and 506,004.75

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Solution

The third proportional to 338,040 and 506,004.75 is: 757,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,040 : 506,004.75 = 506,004.75 : x
  2. Step 2: Convert to fraction form
    338,040/506,004.75 = 506,004.75/x
  3. Step 3: Cross multiply
    338,040x = 506,004.75 × 506,004.75
  4. Step 4: Simplify right side
    338,040x = 256,040,807,022.56
  5. Step 5: Solve for x
    x = 256,040,807,022.56/338,040
  6. Step 6: Final answer
    x = 757,427.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.