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Finding the Third Proportional to 294,107 and 439,986

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Solution

The third proportional to 294,107 and 439,986 is: 658,221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,107 : 439,986 = 439,986 : x
  2. Step 2: Convert to fraction form
    294,107/439,986 = 439,986/x
  3. Step 3: Cross multiply
    294,107x = 439,986 × 439,986
  4. Step 4: Simplify right side
    294,107x = 193,587,680,196
  5. Step 5: Solve for x
    x = 193,587,680,196/294,107
  6. Step 6: Final answer
    x = 658,221.94

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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.