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Finding the Third Proportional to 443,891 and 676,893

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Solution

The third proportional to 443,891 and 676,893 is: 1,032,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,891 : 676,893 = 676,893 : x
  2. Step 2: Convert to fraction form
    443,891/676,893 = 676,893/x
  3. Step 3: Cross multiply
    443,891x = 676,893 × 676,893
  4. Step 4: Simplify right side
    443,891x = 458,184,133,449
  5. Step 5: Solve for x
    x = 458,184,133,449/443,891
  6. Step 6: Final answer
    x = 1,032,199.65

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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.