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Finding the Third Proportional to 329,664 and 496,032

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Solution

The third proportional to 329,664 and 496,032 is: 746,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,664 : 496,032 = 496,032 : x
  2. Step 2: Convert to fraction form
    329,664/496,032 = 496,032/x
  3. Step 3: Cross multiply
    329,664x = 496,032 × 496,032
  4. Step 4: Simplify right side
    329,664x = 246,047,745,024
  5. Step 5: Solve for x
    x = 246,047,745,024/329,664
  6. Step 6: Final answer
    x = 746,359.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.