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Finding the Third Proportional to 312,530 and 481,768

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Solution

The third proportional to 312,530 and 481,768 is: 742,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,530 : 481,768 = 481,768 : x
  2. Step 2: Convert to fraction form
    312,530/481,768 = 481,768/x
  3. Step 3: Cross multiply
    312,530x = 481,768 × 481,768
  4. Step 4: Simplify right side
    312,530x = 232,100,405,824
  5. Step 5: Solve for x
    x = 232,100,405,824/312,530
  6. Step 6: Final answer
    x = 742,650.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.