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Finding the Third Proportional to 293,942 and 439,769

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Solution

The third proportional to 293,942 and 439,769 is: 657,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,942 : 439,769 = 439,769 : x
  2. Step 2: Convert to fraction form
    293,942/439,769 = 439,769/x
  3. Step 3: Cross multiply
    293,942x = 439,769 × 439,769
  4. Step 4: Simplify right side
    293,942x = 193,396,773,361
  5. Step 5: Solve for x
    x = 193,396,773,361/293,942
  6. Step 6: Final answer
    x = 657,941.95

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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.