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Finding the Third Proportional to 305,926 and 662,692

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Solution

The third proportional to 305,926 and 662,692 is: 1,435,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,926 : 662,692 = 662,692 : x
  2. Step 2: Convert to fraction form
    305,926/662,692 = 662,692/x
  3. Step 3: Cross multiply
    305,926x = 662,692 × 662,692
  4. Step 4: Simplify right side
    305,926x = 439,160,686,864
  5. Step 5: Solve for x
    x = 439,160,686,864/305,926
  6. Step 6: Final answer
    x = 1,435,512.79

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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.