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Finding the Third Proportional to 481,104 and 732,996

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Solution

The third proportional to 481,104 and 732,996 is: 1,116,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,104 : 732,996 = 732,996 : x
  2. Step 2: Convert to fraction form
    481,104/732,996 = 732,996/x
  3. Step 3: Cross multiply
    481,104x = 732,996 × 732,996
  4. Step 4: Simplify right side
    481,104x = 537,283,136,016
  5. Step 5: Solve for x
    x = 537,283,136,016/481,104
  6. Step 6: Final answer
    x = 1,116,771.29

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.