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Finding the Third Proportional to 339,783.75 and 498,251.25

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Solution

The third proportional to 339,783.75 and 498,251.25 is: 730,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,783.75 : 498,251.25 = 498,251.25 : x
  2. Step 2: Convert to fraction form
    339,783.75/498,251.25 = 498,251.25/x
  3. Step 3: Cross multiply
    339,783.75x = 498,251.25 × 498,251.25
  4. Step 4: Simplify right side
    339,783.75x = 248,254,308,126.56
  5. Step 5: Solve for x
    x = 248,254,308,126.56/339,783.75
  6. Step 6: Final answer
    x = 730,624.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.