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Finding the Third Proportional to 418,251 and 631,300.50

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Solution

The third proportional to 418,251 and 631,300.50 is: 952,873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,251 : 631,300.50 = 631,300.50 : x
  2. Step 2: Convert to fraction form
    418,251/631,300.50 = 631,300.50/x
  3. Step 3: Cross multiply
    418,251x = 631,300.50 × 631,300.50
  4. Step 4: Simplify right side
    418,251x = 398,540,321,300.25
  5. Step 5: Solve for x
    x = 398,540,321,300.25/418,251
  6. Step 6: Final answer
    x = 952,873.56

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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.