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Finding the Third Proportional to 305,928 and 662,696

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Solution

The third proportional to 305,928 and 662,696 is: 1,435,520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,928 : 662,696 = 662,696 : x
  2. Step 2: Convert to fraction form
    305,928/662,696 = 662,696/x
  3. Step 3: Cross multiply
    305,928x = 662,696 × 662,696
  4. Step 4: Simplify right side
    305,928x = 439,165,988,416
  5. Step 5: Solve for x
    x = 439,165,988,416/305,928
  6. Step 6: Final answer
    x = 1,435,520.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.