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Finding the Third Proportional to 380,594 and 828,994

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Solution

The third proportional to 380,594 and 828,994 is: 1,805,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,594 : 828,994 = 828,994 : x
  2. Step 2: Convert to fraction form
    380,594/828,994 = 828,994/x
  3. Step 3: Cross multiply
    380,594x = 828,994 × 828,994
  4. Step 4: Simplify right side
    380,594x = 687,231,052,036
  5. Step 5: Solve for x
    x = 687,231,052,036/380,594
  6. Step 6: Final answer
    x = 1,805,680.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.