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Finding the Third Proportional to 286,848 and 421,922

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Solution

The third proportional to 286,848 and 421,922 is: 620,601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,848 : 421,922 = 421,922 : x
  2. Step 2: Convert to fraction form
    286,848/421,922 = 421,922/x
  3. Step 3: Cross multiply
    286,848x = 421,922 × 421,922
  4. Step 4: Simplify right side
    286,848x = 178,018,174,084
  5. Step 5: Solve for x
    x = 178,018,174,084/286,848
  6. Step 6: Final answer
    x = 620,601.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.