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Finding the Third Proportional to 293,404 and 439,014

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Solution

The third proportional to 293,404 and 439,014 is: 656,887.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,404 : 439,014 = 439,014 : x
  2. Step 2: Convert to fraction form
    293,404/439,014 = 439,014/x
  3. Step 3: Cross multiply
    293,404x = 439,014 × 439,014
  4. Step 4: Simplify right side
    293,404x = 192,733,292,196
  5. Step 5: Solve for x
    x = 192,733,292,196/293,404
  6. Step 6: Final answer
    x = 656,887.06

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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.