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Finding the Third Proportional to 357,858 and 783,027

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Solution

The third proportional to 357,858 and 783,027 is: 1,713,336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,858 : 783,027 = 783,027 : x
  2. Step 2: Convert to fraction form
    357,858/783,027 = 783,027/x
  3. Step 3: Cross multiply
    357,858x = 783,027 × 783,027
  4. Step 4: Simplify right side
    357,858x = 613,131,282,729
  5. Step 5: Solve for x
    x = 613,131,282,729/357,858
  6. Step 6: Final answer
    x = 1,713,336.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.