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Finding the Third Proportional to 315,986 and 701,956

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Solution

The third proportional to 315,986 and 701,956 is: 1,559,379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,986 : 701,956 = 701,956 : x
  2. Step 2: Convert to fraction form
    315,986/701,956 = 701,956/x
  3. Step 3: Cross multiply
    315,986x = 701,956 × 701,956
  4. Step 4: Simplify right side
    315,986x = 492,742,225,936
  5. Step 5: Solve for x
    x = 492,742,225,936/315,986
  6. Step 6: Final answer
    x = 1,559,379.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.