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Finding the Third Proportional to 293,911.88 and 439,727.06

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Solution

The third proportional to 293,911.88 and 439,727.06 is: 657,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,911.88 : 439,727.06 = 439,727.06 : x
  2. Step 2: Convert to fraction form
    293,911.88/439,727.06 = 439,727.06/x
  3. Step 3: Cross multiply
    293,911.88x = 439,727.06 × 439,727.06
  4. Step 4: Simplify right side
    293,911.88x = 193,359,889,494.88
  5. Step 5: Solve for x
    x = 193,359,889,494.88/293,911.88
  6. Step 6: Final answer
    x = 657,883.90

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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.