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Finding the Third Proportional to 714,163 and 947,800

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Solution

The third proportional to 714,163 and 947,800 is: 1,257,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,163 : 947,800 = 947,800 : x
  2. Step 2: Convert to fraction form
    714,163/947,800 = 947,800/x
  3. Step 3: Cross multiply
    714,163x = 947,800 × 947,800
  4. Step 4: Simplify right side
    714,163x = 898,324,840,000
  5. Step 5: Solve for x
    x = 898,324,840,000/714,163
  6. Step 6: Final answer
    x = 1,257,870.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.