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Finding the Third Proportional to 323,028 and 481,385.53

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Solution

The third proportional to 323,028 and 481,385.53 is: 717,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,028 : 481,385.53 = 481,385.53 : x
  2. Step 2: Convert to fraction form
    323,028/481,385.53 = 481,385.53/x
  3. Step 3: Cross multiply
    323,028x = 481,385.53 × 481,385.53
  4. Step 4: Simplify right side
    323,028x = 231,732,029,696.85
  5. Step 5: Solve for x
    x = 231,732,029,696.85/323,028
  6. Step 6: Final answer
    x = 717,374.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.