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Finding the Third Proportional to 208,001 and 330,605

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Solution

The third proportional to 208,001 and 330,605 is: 525,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,001 : 330,605 = 330,605 : x
  2. Step 2: Convert to fraction form
    208,001/330,605 = 330,605/x
  3. Step 3: Cross multiply
    208,001x = 330,605 × 330,605
  4. Step 4: Simplify right side
    208,001x = 109,299,666,025
  5. Step 5: Solve for x
    x = 109,299,666,025/208,001
  6. Step 6: Final answer
    x = 525,476.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.