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Finding the Third Proportional to 208,064 and 322,788

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Solution

The third proportional to 208,064 and 322,788 is: 500,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,064 : 322,788 = 322,788 : x
  2. Step 2: Convert to fraction form
    208,064/322,788 = 322,788/x
  3. Step 3: Cross multiply
    208,064x = 322,788 × 322,788
  4. Step 4: Simplify right side
    208,064x = 104,192,092,944
  5. Step 5: Solve for x
    x = 104,192,092,944/208,064
  6. Step 6: Final answer
    x = 500,769.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.