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Finding the Third Proportional to 294,852 and 467,611

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Solution

The third proportional to 294,852 and 467,611 is: 741,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,852 : 467,611 = 467,611 : x
  2. Step 2: Convert to fraction form
    294,852/467,611 = 467,611/x
  3. Step 3: Cross multiply
    294,852x = 467,611 × 467,611
  4. Step 4: Simplify right side
    294,852x = 218,660,047,321
  5. Step 5: Solve for x
    x = 218,660,047,321/294,852
  6. Step 6: Final answer
    x = 741,592.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.