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Finding the Third Proportional to 476,204 and 719,172

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Solution

The third proportional to 476,204 and 719,172 is: 1,086,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,204 : 719,172 = 719,172 : x
  2. Step 2: Convert to fraction form
    476,204/719,172 = 719,172/x
  3. Step 3: Cross multiply
    476,204x = 719,172 × 719,172
  4. Step 4: Simplify right side
    476,204x = 517,208,365,584
  5. Step 5: Solve for x
    x = 517,208,365,584/476,204
  6. Step 6: Final answer
    x = 1,086,106.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.