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Finding the Third Proportional to 332,669 and 700,938

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Solution

The third proportional to 332,669 and 700,938 is: 1,476,885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,669 : 700,938 = 700,938 : x
  2. Step 2: Convert to fraction form
    332,669/700,938 = 700,938/x
  3. Step 3: Cross multiply
    332,669x = 700,938 × 700,938
  4. Step 4: Simplify right side
    332,669x = 491,314,079,844
  5. Step 5: Solve for x
    x = 491,314,079,844/332,669
  6. Step 6: Final answer
    x = 1,476,885.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.