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Finding the Third Proportional to 329,064 and 496,024

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Solution

The third proportional to 329,064 and 496,024 is: 747,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,064 : 496,024 = 496,024 : x
  2. Step 2: Convert to fraction form
    329,064/496,024 = 496,024/x
  3. Step 3: Cross multiply
    329,064x = 496,024 × 496,024
  4. Step 4: Simplify right side
    329,064x = 246,039,808,576
  5. Step 5: Solve for x
    x = 246,039,808,576/329,064
  6. Step 6: Final answer
    x = 747,695.92

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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.