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Finding the Third Proportional to 301,555.41 and 663,081.19

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Solution

The third proportional to 301,555.41 and 663,081.19 is: 1,458,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,555.41 : 663,081.19 = 663,081.19 : x
  2. Step 2: Convert to fraction form
    301,555.41/663,081.19 = 663,081.19/x
  3. Step 3: Cross multiply
    301,555.41x = 663,081.19 × 663,081.19
  4. Step 4: Simplify right side
    301,555.41x = 439,676,661,216.41
  5. Step 5: Solve for x
    x = 439,676,661,216.41/301,555.41
  6. Step 6: Final answer
    x = 1,458,029.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.