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Finding the Third Proportional to 296,164 and 639,611

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Solution

The third proportional to 296,164 and 639,611 is: 1,381,336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,164 : 639,611 = 639,611 : x
  2. Step 2: Convert to fraction form
    296,164/639,611 = 639,611/x
  3. Step 3: Cross multiply
    296,164x = 639,611 × 639,611
  4. Step 4: Simplify right side
    296,164x = 409,102,231,321
  5. Step 5: Solve for x
    x = 409,102,231,321/296,164
  6. Step 6: Final answer
    x = 1,381,336.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.