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Finding the Third Proportional to 465,773 and 948,675

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Solution

The third proportional to 465,773 and 948,675 is: 1,932,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,773 : 948,675 = 948,675 : x
  2. Step 2: Convert to fraction form
    465,773/948,675 = 948,675/x
  3. Step 3: Cross multiply
    465,773x = 948,675 × 948,675
  4. Step 4: Simplify right side
    465,773x = 899,984,255,625
  5. Step 5: Solve for x
    x = 899,984,255,625/465,773
  6. Step 6: Final answer
    x = 1,932,237.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.