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Finding the Third Proportional to 516,118 and 758,997

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Solution

The third proportional to 516,118 and 758,997 is: 1,116,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,118 : 758,997 = 758,997 : x
  2. Step 2: Convert to fraction form
    516,118/758,997 = 758,997/x
  3. Step 3: Cross multiply
    516,118x = 758,997 × 758,997
  4. Step 4: Simplify right side
    516,118x = 576,076,446,009
  5. Step 5: Solve for x
    x = 576,076,446,009/516,118
  6. Step 6: Final answer
    x = 1,116,171.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.