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Finding the Third Proportional to 329,406.75 and 481,545

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Solution

The third proportional to 329,406.75 and 481,545 is: 703,949.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,406.75 : 481,545 = 481,545 : x
  2. Step 2: Convert to fraction form
    329,406.75/481,545 = 481,545/x
  3. Step 3: Cross multiply
    329,406.75x = 481,545 × 481,545
  4. Step 4: Simplify right side
    329,406.75x = 231,885,587,025
  5. Step 5: Solve for x
    x = 231,885,587,025/329,406.75
  6. Step 6: Final answer
    x = 703,949.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.