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Finding the Third Proportional to 477,396 and 669,214

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Solution

The third proportional to 477,396 and 669,214 is: 938,104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,396 : 669,214 = 669,214 : x
  2. Step 2: Convert to fraction form
    477,396/669,214 = 669,214/x
  3. Step 3: Cross multiply
    477,396x = 669,214 × 669,214
  4. Step 4: Simplify right side
    477,396x = 447,847,377,796
  5. Step 5: Solve for x
    x = 447,847,377,796/477,396
  6. Step 6: Final answer
    x = 938,104.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.