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Finding the Third Proportional to 339,150 and 736,620

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Solution

The third proportional to 339,150 and 736,620 is: 1,599,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,150 : 736,620 = 736,620 : x
  2. Step 2: Convert to fraction form
    339,150/736,620 = 736,620/x
  3. Step 3: Cross multiply
    339,150x = 736,620 × 736,620
  4. Step 4: Simplify right side
    339,150x = 542,609,024,400
  5. Step 5: Solve for x
    x = 542,609,024,400/339,150
  6. Step 6: Final answer
    x = 1,599,908.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.