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Finding the Third Proportional to 394,151 and 609,603

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Solution

The third proportional to 394,151 and 609,603 is: 942,826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,151 : 609,603 = 609,603 : x
  2. Step 2: Convert to fraction form
    394,151/609,603 = 609,603/x
  3. Step 3: Cross multiply
    394,151x = 609,603 × 609,603
  4. Step 4: Simplify right side
    394,151x = 371,615,817,609
  5. Step 5: Solve for x
    x = 371,615,817,609/394,151
  6. Step 6: Final answer
    x = 942,826.02

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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.