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Finding the Third Proportional to 577,886 and 766,997

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Solution

The third proportional to 577,886 and 766,997 is: 1,017,993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,886 : 766,997 = 766,997 : x
  2. Step 2: Convert to fraction form
    577,886/766,997 = 766,997/x
  3. Step 3: Cross multiply
    577,886x = 766,997 × 766,997
  4. Step 4: Simplify right side
    577,886x = 588,284,398,009
  5. Step 5: Solve for x
    x = 588,284,398,009/577,886
  6. Step 6: Final answer
    x = 1,017,993.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.