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Finding the Third Proportional to 588,378 and 909,194

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Solution

The third proportional to 588,378 and 909,194 is: 1,404,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,378 : 909,194 = 909,194 : x
  2. Step 2: Convert to fraction form
    588,378/909,194 = 909,194/x
  3. Step 3: Cross multiply
    588,378x = 909,194 × 909,194
  4. Step 4: Simplify right side
    588,378x = 826,633,729,636
  5. Step 5: Solve for x
    x = 826,633,729,636/588,378
  6. Step 6: Final answer
    x = 1,404,936.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.