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Finding the Third Proportional to 446,231 and 670,319

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Solution

The third proportional to 446,231 and 670,319 is: 1,006,939.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,231 : 670,319 = 670,319 : x
  2. Step 2: Convert to fraction form
    446,231/670,319 = 670,319/x
  3. Step 3: Cross multiply
    446,231x = 670,319 × 670,319
  4. Step 4: Simplify right side
    446,231x = 449,327,561,761
  5. Step 5: Solve for x
    x = 449,327,561,761/446,231
  6. Step 6: Final answer
    x = 1,006,939.37

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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.