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Finding the Third Proportional to 518,102 and 799,264.50

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Solution

The third proportional to 518,102 and 799,264.50 is: 1,233,007.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,102 : 799,264.50 = 799,264.50 : x
  2. Step 2: Convert to fraction form
    518,102/799,264.50 = 799,264.50/x
  3. Step 3: Cross multiply
    518,102x = 799,264.50 × 799,264.50
  4. Step 4: Simplify right side
    518,102x = 638,823,740,960.25
  5. Step 5: Solve for x
    x = 638,823,740,960.25/518,102
  6. Step 6: Final answer
    x = 1,233,007.67

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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.