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Finding the Third Proportional to 443,898 and 676,903

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Solution

The third proportional to 443,898 and 676,903 is: 1,032,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,898 : 676,903 = 676,903 : x
  2. Step 2: Convert to fraction form
    443,898/676,903 = 676,903/x
  3. Step 3: Cross multiply
    443,898x = 676,903 × 676,903
  4. Step 4: Simplify right side
    443,898x = 458,197,671,409
  5. Step 5: Solve for x
    x = 458,197,671,409/443,898
  6. Step 6: Final answer
    x = 1,032,213.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.