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Finding the Third Proportional to 322,969 and 701,920

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Solution

The third proportional to 322,969 and 701,920 is: 1,525,507.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,969 : 701,920 = 701,920 : x
  2. Step 2: Convert to fraction form
    322,969/701,920 = 701,920/x
  3. Step 3: Cross multiply
    322,969x = 701,920 × 701,920
  4. Step 4: Simplify right side
    322,969x = 492,691,686,400
  5. Step 5: Solve for x
    x = 492,691,686,400/322,969
  6. Step 6: Final answer
    x = 1,525,507.67

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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.