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Finding the Third Proportional to 294,039 and 439,883.25

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Solution

The third proportional to 294,039 and 439,883.25 is: 658,066.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,039 : 439,883.25 = 439,883.25 : x
  2. Step 2: Convert to fraction form
    294,039/439,883.25 = 439,883.25/x
  3. Step 3: Cross multiply
    294,039x = 439,883.25 × 439,883.25
  4. Step 4: Simplify right side
    294,039x = 193,497,273,630.56
  5. Step 5: Solve for x
    x = 193,497,273,630.56/294,039
  6. Step 6: Final answer
    x = 658,066.70

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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.