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Finding the Third Proportional to 418,254 and 631,305

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Solution

The third proportional to 418,254 and 631,305 is: 952,880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,254 : 631,305 = 631,305 : x
  2. Step 2: Convert to fraction form
    418,254/631,305 = 631,305/x
  3. Step 3: Cross multiply
    418,254x = 631,305 × 631,305
  4. Step 4: Simplify right side
    418,254x = 398,546,003,025
  5. Step 5: Solve for x
    x = 398,546,003,025/418,254
  6. Step 6: Final answer
    x = 952,880.31

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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.