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Finding the Third Proportional to 745,434 and 993,150

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Solution

The third proportional to 745,434 and 993,150 is: 1,323,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,434 : 993,150 = 993,150 : x
  2. Step 2: Convert to fraction form
    745,434/993,150 = 993,150/x
  3. Step 3: Cross multiply
    745,434x = 993,150 × 993,150
  4. Step 4: Simplify right side
    745,434x = 986,346,922,500
  5. Step 5: Solve for x
    x = 986,346,922,500/745,434
  6. Step 6: Final answer
    x = 1,323,184.78

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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.