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Finding the Third Proportional to 329,051 and 496,005

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Solution

The third proportional to 329,051 and 496,005 is: 747,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,051 : 496,005 = 496,005 : x
  2. Step 2: Convert to fraction form
    329,051/496,005 = 496,005/x
  3. Step 3: Cross multiply
    329,051x = 496,005 × 496,005
  4. Step 4: Simplify right side
    329,051x = 246,020,960,025
  5. Step 5: Solve for x
    x = 246,020,960,025/329,051
  6. Step 6: Final answer
    x = 747,668.17

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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.