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Finding the Third Proportional to 376,812 and 566,028

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Solution

The third proportional to 376,812 and 566,028 is: 850,258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,812 : 566,028 = 566,028 : x
  2. Step 2: Convert to fraction form
    376,812/566,028 = 566,028/x
  3. Step 3: Cross multiply
    376,812x = 566,028 × 566,028
  4. Step 4: Simplify right side
    376,812x = 320,387,696,784
  5. Step 5: Solve for x
    x = 320,387,696,784/376,812
  6. Step 6: Final answer
    x = 850,258.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.