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Finding the Third Proportional to 568,305 and 877,788

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Solution

The third proportional to 568,305 and 877,788 is: 1,355,806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,305 : 877,788 = 877,788 : x
  2. Step 2: Convert to fraction form
    568,305/877,788 = 877,788/x
  3. Step 3: Cross multiply
    568,305x = 877,788 × 877,788
  4. Step 4: Simplify right side
    568,305x = 770,511,772,944
  5. Step 5: Solve for x
    x = 770,511,772,944/568,305
  6. Step 6: Final answer
    x = 1,355,806.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.