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Finding the Third Proportional to 339,652 and 719,764

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Solution

The third proportional to 339,652 and 719,764 is: 1,525,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,652 : 719,764 = 719,764 : x
  2. Step 2: Convert to fraction form
    339,652/719,764 = 719,764/x
  3. Step 3: Cross multiply
    339,652x = 719,764 × 719,764
  4. Step 4: Simplify right side
    339,652x = 518,060,215,696
  5. Step 5: Solve for x
    x = 518,060,215,696/339,652
  6. Step 6: Final answer
    x = 1,525,267.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.