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Finding the Third Proportional to 379,230.19 and 821,746.69

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Solution

The third proportional to 379,230.19 and 821,746.69 is: 1,780,627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,230.19 : 821,746.69 = 821,746.69 : x
  2. Step 2: Convert to fraction form
    379,230.19/821,746.69 = 821,746.69/x
  3. Step 3: Cross multiply
    379,230.19x = 821,746.69 × 821,746.69
  4. Step 4: Simplify right side
    379,230.19x = 675,267,618,417.22
  5. Step 5: Solve for x
    x = 675,267,618,417.22/379,230.19
  6. Step 6: Final answer
    x = 1,780,627.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.