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Finding the Third Proportional to 315,434 and 693,950

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Solution

The third proportional to 315,434 and 693,950 is: 1,526,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,434 : 693,950 = 693,950 : x
  2. Step 2: Convert to fraction form
    315,434/693,950 = 693,950/x
  3. Step 3: Cross multiply
    315,434x = 693,950 × 693,950
  4. Step 4: Simplify right side
    315,434x = 481,566,602,500
  5. Step 5: Solve for x
    x = 481,566,602,500/315,434
  6. Step 6: Final answer
    x = 1,526,679.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.