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Finding the Third Proportional to 446,174 and 670,251

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Solution

The third proportional to 446,174 and 670,251 is: 1,006,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,174 : 670,251 = 670,251 : x
  2. Step 2: Convert to fraction form
    446,174/670,251 = 670,251/x
  3. Step 3: Cross multiply
    446,174x = 670,251 × 670,251
  4. Step 4: Simplify right side
    446,174x = 449,236,403,001
  5. Step 5: Solve for x
    x = 449,236,403,001/446,174
  6. Step 6: Final answer
    x = 1,006,863.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.