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Finding the Third Proportional to 329,267 and 492,496

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Solution

The third proportional to 329,267 and 492,496 is: 736,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,267 : 492,496 = 492,496 : x
  2. Step 2: Convert to fraction form
    329,267/492,496 = 492,496/x
  3. Step 3: Cross multiply
    329,267x = 492,496 × 492,496
  4. Step 4: Simplify right side
    329,267x = 242,552,310,016
  5. Step 5: Solve for x
    x = 242,552,310,016/329,267
  6. Step 6: Final answer
    x = 736,643.24

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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.