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Finding the Third Proportional to 598,941 and 904,649

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Solution

The third proportional to 598,941 and 904,649 is: 1,366,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,941 : 904,649 = 904,649 : x
  2. Step 2: Convert to fraction form
    598,941/904,649 = 904,649/x
  3. Step 3: Cross multiply
    598,941x = 904,649 × 904,649
  4. Step 4: Simplify right side
    598,941x = 818,389,813,201
  5. Step 5: Solve for x
    x = 818,389,813,201/598,941
  6. Step 6: Final answer
    x = 1,366,394.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.