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Finding the Third Proportional to 323,311.50 and 655,841.81

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Solution

The third proportional to 323,311.50 and 655,841.81 is: 1,330,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,311.50 : 655,841.81 = 655,841.81 : x
  2. Step 2: Convert to fraction form
    323,311.50/655,841.81 = 655,841.81/x
  3. Step 3: Cross multiply
    323,311.50x = 655,841.81 × 655,841.81
  4. Step 4: Simplify right side
    323,311.50x = 430,128,483,023.29
  5. Step 5: Solve for x
    x = 430,128,483,023.29/323,311.50
  6. Step 6: Final answer
    x = 1,330,384.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.