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Finding the Third Proportional to 565,112 and 792,003

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Solution

The third proportional to 565,112 and 792,003 is: 1,109,990.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,112 : 792,003 = 792,003 : x
  2. Step 2: Convert to fraction form
    565,112/792,003 = 792,003/x
  3. Step 3: Cross multiply
    565,112x = 792,003 × 792,003
  4. Step 4: Simplify right side
    565,112x = 627,268,752,009
  5. Step 5: Solve for x
    x = 627,268,752,009/565,112
  6. Step 6: Final answer
    x = 1,109,990.15

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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.