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Finding the Third Proportional to 352,153.50 and 733,491

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Solution

The third proportional to 352,153.50 and 733,491 is: 1,527,768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,153.50 : 733,491 = 733,491 : x
  2. Step 2: Convert to fraction form
    352,153.50/733,491 = 733,491/x
  3. Step 3: Cross multiply
    352,153.50x = 733,491 × 733,491
  4. Step 4: Simplify right side
    352,153.50x = 538,009,047,081
  5. Step 5: Solve for x
    x = 538,009,047,081/352,153.50
  6. Step 6: Final answer
    x = 1,527,768.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.