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Finding the Third Proportional to 443,367 and 953,253

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Solution

The third proportional to 443,367 and 953,253 is: 2,049,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,367 : 953,253 = 953,253 : x
  2. Step 2: Convert to fraction form
    443,367/953,253 = 953,253/x
  3. Step 3: Cross multiply
    443,367x = 953,253 × 953,253
  4. Step 4: Simplify right side
    443,367x = 908,691,282,009
  5. Step 5: Solve for x
    x = 908,691,282,009/443,367
  6. Step 6: Final answer
    x = 2,049,523.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.