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Finding the Third Proportional to 244,475 and 389,008

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Solution

The third proportional to 244,475 and 389,008 is: 618,988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,475 : 389,008 = 389,008 : x
  2. Step 2: Convert to fraction form
    244,475/389,008 = 389,008/x
  3. Step 3: Cross multiply
    244,475x = 389,008 × 389,008
  4. Step 4: Simplify right side
    244,475x = 151,327,224,064
  5. Step 5: Solve for x
    x = 151,327,224,064/244,475
  6. Step 6: Final answer
    x = 618,988.54

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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.