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Finding the Third Proportional to 452,179 and 699,841

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Solution

The third proportional to 452,179 and 699,841 is: 1,083,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,179 : 699,841 = 699,841 : x
  2. Step 2: Convert to fraction form
    452,179/699,841 = 699,841/x
  3. Step 3: Cross multiply
    452,179x = 699,841 × 699,841
  4. Step 4: Simplify right side
    452,179x = 489,777,425,281
  5. Step 5: Solve for x
    x = 489,777,425,281/452,179
  6. Step 6: Final answer
    x = 1,083,149.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.