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Finding the Third Proportional to 318,569 and 481,935

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Solution

The third proportional to 318,569 and 481,935 is: 729,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,569 : 481,935 = 481,935 : x
  2. Step 2: Convert to fraction form
    318,569/481,935 = 481,935/x
  3. Step 3: Cross multiply
    318,569x = 481,935 × 481,935
  4. Step 4: Simplify right side
    318,569x = 232,261,344,225
  5. Step 5: Solve for x
    x = 232,261,344,225/318,569
  6. Step 6: Final answer
    x = 729,077.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.