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Finding the Third Proportional to 207,404 and 313,010

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Solution

The third proportional to 207,404 and 313,010 is: 472,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,404 : 313,010 = 313,010 : x
  2. Step 2: Convert to fraction form
    207,404/313,010 = 313,010/x
  3. Step 3: Cross multiply
    207,404x = 313,010 × 313,010
  4. Step 4: Simplify right side
    207,404x = 97,975,260,100
  5. Step 5: Solve for x
    x = 97,975,260,100/207,404
  6. Step 6: Final answer
    x = 472,388.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.