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Finding the Third Proportional to 319,626 and 693,927

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Solution

The third proportional to 319,626 and 693,927 is: 1,506,556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,626 : 693,927 = 693,927 : x
  2. Step 2: Convert to fraction form
    319,626/693,927 = 693,927/x
  3. Step 3: Cross multiply
    319,626x = 693,927 × 693,927
  4. Step 4: Simplify right side
    319,626x = 481,534,681,329
  5. Step 5: Solve for x
    x = 481,534,681,329/319,626
  6. Step 6: Final answer
    x = 1,506,556.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.