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Finding the Third Proportional to 329,256 and 492,480

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Solution

The third proportional to 329,256 and 492,480 is: 736,619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,256 : 492,480 = 492,480 : x
  2. Step 2: Convert to fraction form
    329,256/492,480 = 492,480/x
  3. Step 3: Cross multiply
    329,256x = 492,480 × 492,480
  4. Step 4: Simplify right side
    329,256x = 242,536,550,400
  5. Step 5: Solve for x
    x = 242,536,550,400/329,256
  6. Step 6: Final answer
    x = 736,619.99

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