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Finding the Third Proportional to 207,294 and 439,500

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Solution

The third proportional to 207,294 and 439,500 is: 931,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,294 : 439,500 = 439,500 : x
  2. Step 2: Convert to fraction form
    207,294/439,500 = 439,500/x
  3. Step 3: Cross multiply
    207,294x = 439,500 × 439,500
  4. Step 4: Simplify right side
    207,294x = 193,160,250,000
  5. Step 5: Solve for x
    x = 193,160,250,000/207,294
  6. Step 6: Final answer
    x = 931,817.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.