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Finding the Third Proportional to 307,776 and 481,104

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Solution

The third proportional to 307,776 and 481,104 is: 752,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,776 : 481,104 = 481,104 : x
  2. Step 2: Convert to fraction form
    307,776/481,104 = 481,104/x
  3. Step 3: Cross multiply
    307,776x = 481,104 × 481,104
  4. Step 4: Simplify right side
    307,776x = 231,461,058,816
  5. Step 5: Solve for x
    x = 231,461,058,816/307,776
  6. Step 6: Final answer
    x = 752,043.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.