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Finding the Third Proportional to 565,118 and 792,010

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Solution

The third proportional to 565,118 and 792,010 is: 1,109,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,118 : 792,010 = 792,010 : x
  2. Step 2: Convert to fraction form
    565,118/792,010 = 792,010/x
  3. Step 3: Cross multiply
    565,118x = 792,010 × 792,010
  4. Step 4: Simplify right side
    565,118x = 627,279,840,100
  5. Step 5: Solve for x
    x = 627,279,840,100/565,118
  6. Step 6: Final answer
    x = 1,109,997.98

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.