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Finding the Third Proportional to 299,270 and 646,019.50

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Solution

The third proportional to 299,270 and 646,019.50 is: 1,394,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,270 : 646,019.50 = 646,019.50 : x
  2. Step 2: Convert to fraction form
    299,270/646,019.50 = 646,019.50/x
  3. Step 3: Cross multiply
    299,270x = 646,019.50 × 646,019.50
  4. Step 4: Simplify right side
    299,270x = 417,341,194,380.25
  5. Step 5: Solve for x
    x = 417,341,194,380.25/299,270
  6. Step 6: Final answer
    x = 1,394,530.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.