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Finding the Third Proportional to 244,100 and 514,444

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Solution

The third proportional to 244,100 and 514,444 is: 1,084,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,100 : 514,444 = 514,444 : x
  2. Step 2: Convert to fraction form
    244,100/514,444 = 514,444/x
  3. Step 3: Cross multiply
    244,100x = 514,444 × 514,444
  4. Step 4: Simplify right side
    244,100x = 264,652,629,136
  5. Step 5: Solve for x
    x = 264,652,629,136/244,100
  6. Step 6: Final answer
    x = 1,084,197.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.