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Finding the Third Proportional to 305,182 and 662,903

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Solution

The third proportional to 305,182 and 662,903 is: 1,439,928.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,182 : 662,903 = 662,903 : x
  2. Step 2: Convert to fraction form
    305,182/662,903 = 662,903/x
  3. Step 3: Cross multiply
    305,182x = 662,903 × 662,903
  4. Step 4: Simplify right side
    305,182x = 439,440,387,409
  5. Step 5: Solve for x
    x = 439,440,387,409/305,182
  6. Step 6: Final answer
    x = 1,439,928.92

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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.