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Finding the Third Proportional to 446,416.31 and 670,642.88

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Solution

The third proportional to 446,416.31 and 670,642.88 is: 1,007,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,416.31 : 670,642.88 = 670,642.88 : x
  2. Step 2: Convert to fraction form
    446,416.31/670,642.88 = 670,642.88/x
  3. Step 3: Cross multiply
    446,416.31x = 670,642.88 × 670,642.88
  4. Step 4: Simplify right side
    446,416.31x = 449,761,865,788.27
  5. Step 5: Solve for x
    x = 449,761,865,788.27/446,416.31
  6. Step 6: Final answer
    x = 1,007,494.25

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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.