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Finding the Third Proportional to 293,154 and 439,536

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Solution

The third proportional to 293,154 and 439,536 is: 659,011.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,154 : 439,536 = 439,536 : x
  2. Step 2: Convert to fraction form
    293,154/439,536 = 439,536/x
  3. Step 3: Cross multiply
    293,154x = 439,536 × 439,536
  4. Step 4: Simplify right side
    293,154x = 193,191,895,296
  5. Step 5: Solve for x
    x = 193,191,895,296/293,154
  6. Step 6: Final answer
    x = 659,011.63

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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.