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Finding the Third Proportional to 701,844.75 and 977,879.25

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Solution

The third proportional to 701,844.75 and 977,879.25 is: 1,362,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,844.75 : 977,879.25 = 977,879.25 : x
  2. Step 2: Convert to fraction form
    701,844.75/977,879.25 = 977,879.25/x
  3. Step 3: Cross multiply
    701,844.75x = 977,879.25 × 977,879.25
  4. Step 4: Simplify right side
    701,844.75x = 956,247,827,580.56
  5. Step 5: Solve for x
    x = 956,247,827,580.56/701,844.75
  6. Step 6: Final answer
    x = 1,362,477.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.