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Finding the Third Proportional to 293,900 and 439,713

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Solution

The third proportional to 293,900 and 439,713 is: 657,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,900 : 439,713 = 439,713 : x
  2. Step 2: Convert to fraction form
    293,900/439,713 = 439,713/x
  3. Step 3: Cross multiply
    293,900x = 439,713 × 439,713
  4. Step 4: Simplify right side
    293,900x = 193,347,522,369
  5. Step 5: Solve for x
    x = 193,347,522,369/293,900
  6. Step 6: Final answer
    x = 657,868.40

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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.