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Finding the Third Proportional to 276,712 and 417,001

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Solution

The third proportional to 276,712 and 417,001 is: 628,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,712 : 417,001 = 417,001 : x
  2. Step 2: Convert to fraction form
    276,712/417,001 = 417,001/x
  3. Step 3: Cross multiply
    276,712x = 417,001 × 417,001
  4. Step 4: Simplify right side
    276,712x = 173,889,834,001
  5. Step 5: Solve for x
    x = 173,889,834,001/276,712
  6. Step 6: Final answer
    x = 628,414.50

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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.