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Finding the Third Proportional to 412,048 and 855,676.50

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Solution

The third proportional to 412,048 and 855,676.50 is: 1,776,934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,048 : 855,676.50 = 855,676.50 : x
  2. Step 2: Convert to fraction form
    412,048/855,676.50 = 855,676.50/x
  3. Step 3: Cross multiply
    412,048x = 855,676.50 × 855,676.50
  4. Step 4: Simplify right side
    412,048x = 732,182,272,652.25
  5. Step 5: Solve for x
    x = 732,182,272,652.25/412,048
  6. Step 6: Final answer
    x = 1,776,934.42

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.