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Finding the Third Proportional to 522,224 and 781,356

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Solution

The third proportional to 522,224 and 781,356 is: 1,169,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,224 : 781,356 = 781,356 : x
  2. Step 2: Convert to fraction form
    522,224/781,356 = 781,356/x
  3. Step 3: Cross multiply
    522,224x = 781,356 × 781,356
  4. Step 4: Simplify right side
    522,224x = 610,517,198,736
  5. Step 5: Solve for x
    x = 610,517,198,736/522,224
  6. Step 6: Final answer
    x = 1,169,071.51

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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.