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Finding the Third Proportional to 429,477 and 970,308

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Solution

The third proportional to 429,477 and 970,308 is: 2,192,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,477 : 970,308 = 970,308 : x
  2. Step 2: Convert to fraction form
    429,477/970,308 = 970,308/x
  3. Step 3: Cross multiply
    429,477x = 970,308 × 970,308
  4. Step 4: Simplify right side
    429,477x = 941,497,614,864
  5. Step 5: Solve for x
    x = 941,497,614,864/429,477
  6. Step 6: Final answer
    x = 2,192,195.66

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.