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Finding the Third Proportional to 362,805.19 and 847,212.19

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Solution

The third proportional to 362,805.19 and 847,212.19 is: 1,978,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,805.19 : 847,212.19 = 847,212.19 : x
  2. Step 2: Convert to fraction form
    362,805.19/847,212.19 = 847,212.19/x
  3. Step 3: Cross multiply
    362,805.19x = 847,212.19 × 847,212.19
  4. Step 4: Simplify right side
    362,805.19x = 717,768,490,648.54
  5. Step 5: Solve for x
    x = 717,768,490,648.54/362,805.19
  6. Step 6: Final answer
    x = 1,978,385.41

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.