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Finding the Third Proportional to 488,469 and 699,897

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Solution

The third proportional to 488,469 and 699,897 is: 1,002,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,469 : 699,897 = 699,897 : x
  2. Step 2: Convert to fraction form
    488,469/699,897 = 699,897/x
  3. Step 3: Cross multiply
    488,469x = 699,897 × 699,897
  4. Step 4: Simplify right side
    488,469x = 489,855,810,609
  5. Step 5: Solve for x
    x = 489,855,810,609/488,469
  6. Step 6: Final answer
    x = 1,002,839.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.