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Finding the Third Proportional to 412,049 and 855,678.50

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Solution

The third proportional to 412,049 and 855,678.50 is: 1,776,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,049 : 855,678.50 = 855,678.50 : x
  2. Step 2: Convert to fraction form
    412,049/855,678.50 = 855,678.50/x
  3. Step 3: Cross multiply
    412,049x = 855,678.50 × 855,678.50
  4. Step 4: Simplify right side
    412,049x = 732,185,695,362.25
  5. Step 5: Solve for x
    x = 732,185,695,362.25/412,049
  6. Step 6: Final answer
    x = 1,776,938.41

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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.