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Finding the Third Proportional to 367,770.38 and 562,352.63

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Solution

The third proportional to 367,770.38 and 562,352.63 is: 859,885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,770.38 : 562,352.63 = 562,352.63 : x
  2. Step 2: Convert to fraction form
    367,770.38/562,352.63 = 562,352.63/x
  3. Step 3: Cross multiply
    367,770.38x = 562,352.63 × 562,352.63
  4. Step 4: Simplify right side
    367,770.38x = 316,240,474,844.39
  5. Step 5: Solve for x
    x = 316,240,474,844.39/367,770.38
  6. Step 6: Final answer
    x = 859,885.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.