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Finding the Third Proportional to 208,984 and 304,728

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Solution

The third proportional to 208,984 and 304,728 is: 444,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,984 : 304,728 = 304,728 : x
  2. Step 2: Convert to fraction form
    208,984/304,728 = 304,728/x
  3. Step 3: Cross multiply
    208,984x = 304,728 × 304,728
  4. Step 4: Simplify right side
    208,984x = 92,859,153,984
  5. Step 5: Solve for x
    x = 92,859,153,984/208,984
  6. Step 6: Final answer
    x = 444,336.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.