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Finding the Third Proportional to 353,948.50 and 764,245.50

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Solution

The third proportional to 353,948.50 and 764,245.50 is: 1,650,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,948.50 : 764,245.50 = 764,245.50 : x
  2. Step 2: Convert to fraction form
    353,948.50/764,245.50 = 764,245.50/x
  3. Step 3: Cross multiply
    353,948.50x = 764,245.50 × 764,245.50
  4. Step 4: Simplify right side
    353,948.50x = 584,071,184,270.25
  5. Step 5: Solve for x
    x = 584,071,184,270.25/353,948.50
  6. Step 6: Final answer
    x = 1,650,158.67

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Why These Related Problems?

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