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Finding the Third Proportional to 329,448 and 492,696

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Solution

The third proportional to 329,448 and 492,696 is: 736,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,448 : 492,696 = 492,696 : x
  2. Step 2: Convert to fraction form
    329,448/492,696 = 492,696/x
  3. Step 3: Cross multiply
    329,448x = 492,696 × 492,696
  4. Step 4: Simplify right side
    329,448x = 242,749,348,416
  5. Step 5: Solve for x
    x = 242,749,348,416/329,448
  6. Step 6: Final answer
    x = 736,836.61

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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.