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Finding the Third Proportional to 302,721.75 and 481,785.75

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Solution

The third proportional to 302,721.75 and 481,785.75 is: 766,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,721.75 : 481,785.75 = 481,785.75 : x
  2. Step 2: Convert to fraction form
    302,721.75/481,785.75 = 481,785.75/x
  3. Step 3: Cross multiply
    302,721.75x = 481,785.75 × 481,785.75
  4. Step 4: Simplify right side
    302,721.75x = 232,117,508,903.06
  5. Step 5: Solve for x
    x = 232,117,508,903.06/302,721.75
  6. Step 6: Final answer
    x = 766,768.52

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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.