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Finding the Third Proportional to 476,238 and 648,546

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Solution

The third proportional to 476,238 and 648,546 is: 883,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,238 : 648,546 = 648,546 : x
  2. Step 2: Convert to fraction form
    476,238/648,546 = 648,546/x
  3. Step 3: Cross multiply
    476,238x = 648,546 × 648,546
  4. Step 4: Simplify right side
    476,238x = 420,611,914,116
  5. Step 5: Solve for x
    x = 420,611,914,116/476,238
  6. Step 6: Final answer
    x = 883,196.88

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.