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Finding the Third Proportional to 304,848 and 428,914

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Solution

The third proportional to 304,848 and 428,914 is: 603,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,848 : 428,914 = 428,914 : x
  2. Step 2: Convert to fraction form
    304,848/428,914 = 428,914/x
  3. Step 3: Cross multiply
    304,848x = 428,914 × 428,914
  4. Step 4: Simplify right side
    304,848x = 183,967,219,396
  5. Step 5: Solve for x
    x = 183,967,219,396/304,848
  6. Step 6: Final answer
    x = 603,471.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.