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Finding the Third Proportional to 443,511 and 694,938

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Solution

The third proportional to 443,511 and 694,938 is: 1,088,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,511 : 694,938 = 694,938 : x
  2. Step 2: Convert to fraction form
    443,511/694,938 = 694,938/x
  3. Step 3: Cross multiply
    443,511x = 694,938 × 694,938
  4. Step 4: Simplify right side
    443,511x = 482,938,823,844
  5. Step 5: Solve for x
    x = 482,938,823,844/443,511
  6. Step 6: Final answer
    x = 1,088,899.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.