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Finding the Third Proportional to 323,068 and 662,256

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Solution

The third proportional to 323,068 and 662,256 is: 1,357,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,068 : 662,256 = 662,256 : x
  2. Step 2: Convert to fraction form
    323,068/662,256 = 662,256/x
  3. Step 3: Cross multiply
    323,068x = 662,256 × 662,256
  4. Step 4: Simplify right side
    323,068x = 438,583,009,536
  5. Step 5: Solve for x
    x = 438,583,009,536/323,068
  6. Step 6: Final answer
    x = 1,357,556.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.