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Finding the Third Proportional to 307,605.94 and 481,569.47

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Solution

The third proportional to 307,605.94 and 481,569.47 is: 753,916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,605.94 : 481,569.47 = 481,569.47 : x
  2. Step 2: Convert to fraction form
    307,605.94/481,569.47 = 481,569.47/x
  3. Step 3: Cross multiply
    307,605.94x = 481,569.47 × 481,569.47
  4. Step 4: Simplify right side
    307,605.94x = 231,909,153,232.16
  5. Step 5: Solve for x
    x = 231,909,153,232.16/307,605.94
  6. Step 6: Final answer
    x = 753,916.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.