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Finding the Third Proportional to 305,795 and 662,620

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Solution

The third proportional to 305,795 and 662,620 is: 1,435,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,795 : 662,620 = 662,620 : x
  2. Step 2: Convert to fraction form
    305,795/662,620 = 662,620/x
  3. Step 3: Cross multiply
    305,795x = 662,620 × 662,620
  4. Step 4: Simplify right side
    305,795x = 439,065,264,400
  5. Step 5: Solve for x
    x = 439,065,264,400/305,795
  6. Step 6: Final answer
    x = 1,435,815.71

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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.