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Finding the Third Proportional to 407,738.81 and 882,676.62

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Solution

The third proportional to 407,738.81 and 882,676.62 is: 1,910,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,738.81 : 882,676.62 = 882,676.62 : x
  2. Step 2: Convert to fraction form
    407,738.81/882,676.62 = 882,676.62/x
  3. Step 3: Cross multiply
    407,738.81x = 882,676.62 × 882,676.62
  4. Step 4: Simplify right side
    407,738.81x = 779,118,010,529.57
  5. Step 5: Solve for x
    x = 779,118,010,529.57/407,738.81
  6. Step 6: Final answer
    x = 1,910,826.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.