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Finding the Third Proportional to 293,399.72 and 426,259.97

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Solution

The third proportional to 293,399.72 and 426,259.97 is: 619,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,399.72 : 426,259.97 = 426,259.97 : x
  2. Step 2: Convert to fraction form
    293,399.72/426,259.97 = 426,259.97/x
  3. Step 3: Cross multiply
    293,399.72x = 426,259.97 × 426,259.97
  4. Step 4: Simplify right side
    293,399.72x = 181,697,560,958.75
  5. Step 5: Solve for x
    x = 181,697,560,958.75/293,399.72
  6. Step 6: Final answer
    x = 619,283.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.