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Finding the Third Proportional to 518,112 and 799,314.50

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Solution

The third proportional to 518,112 and 799,314.50 is: 1,233,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,112 : 799,314.50 = 799,314.50 : x
  2. Step 2: Convert to fraction form
    518,112/799,314.50 = 799,314.50/x
  3. Step 3: Cross multiply
    518,112x = 799,314.50 × 799,314.50
  4. Step 4: Simplify right side
    518,112x = 638,903,669,910.25
  5. Step 5: Solve for x
    x = 638,903,669,910.25/518,112
  6. Step 6: Final answer
    x = 1,233,138.14

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