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Finding the Third Proportional to 334,137 and 443,070

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Solution

The third proportional to 334,137 and 443,070 is: 587,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,137 : 443,070 = 443,070 : x
  2. Step 2: Convert to fraction form
    334,137/443,070 = 443,070/x
  3. Step 3: Cross multiply
    334,137x = 443,070 × 443,070
  4. Step 4: Simplify right side
    334,137x = 196,311,024,900
  5. Step 5: Solve for x
    x = 196,311,024,900/334,137
  6. Step 6: Final answer
    x = 587,516.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.