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Finding the Third Proportional to 351,804.75 and 686,111.25

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Solution

The third proportional to 351,804.75 and 686,111.25 is: 1,338,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,804.75 : 686,111.25 = 686,111.25 : x
  2. Step 2: Convert to fraction form
    351,804.75/686,111.25 = 686,111.25/x
  3. Step 3: Cross multiply
    351,804.75x = 686,111.25 × 686,111.25
  4. Step 4: Simplify right side
    351,804.75x = 470,748,647,376.56
  5. Step 5: Solve for x
    x = 470,748,647,376.56/351,804.75
  6. Step 6: Final answer
    x = 1,338,096.34

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.