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Finding the Third Proportional to 275,313 and 606,502

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Solution

The third proportional to 275,313 and 606,502 is: 1,336,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,313 : 606,502 = 606,502 : x
  2. Step 2: Convert to fraction form
    275,313/606,502 = 606,502/x
  3. Step 3: Cross multiply
    275,313x = 606,502 × 606,502
  4. Step 4: Simplify right side
    275,313x = 367,844,676,004
  5. Step 5: Solve for x
    x = 367,844,676,004/275,313
  6. Step 6: Final answer
    x = 1,336,096.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.