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Finding the Third Proportional to 262,633.50 and 512,143.50

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Solution

The third proportional to 262,633.50 and 512,143.50 is: 998,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,633.50 : 512,143.50 = 512,143.50 : x
  2. Step 2: Convert to fraction form
    262,633.50/512,143.50 = 512,143.50/x
  3. Step 3: Cross multiply
    262,633.50x = 512,143.50 × 512,143.50
  4. Step 4: Simplify right side
    262,633.50x = 262,290,964,592.25
  5. Step 5: Solve for x
    x = 262,290,964,592.25/262,633.50
  6. Step 6: Final answer
    x = 998,695.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.