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Finding the Third Proportional to 271,438.50 and 536,064

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Solution

The third proportional to 271,438.50 and 536,064 is: 1,058,673.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,438.50 : 536,064 = 536,064 : x
  2. Step 2: Convert to fraction form
    271,438.50/536,064 = 536,064/x
  3. Step 3: Cross multiply
    271,438.50x = 536,064 × 536,064
  4. Step 4: Simplify right side
    271,438.50x = 287,364,612,096
  5. Step 5: Solve for x
    x = 287,364,612,096/271,438.50
  6. Step 6: Final answer
    x = 1,058,673.00

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.