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Finding the Third Proportional to 395,412.75 and 850,899.94

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Solution

The third proportional to 395,412.75 and 850,899.94 is: 1,831,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,412.75 : 850,899.94 = 850,899.94 : x
  2. Step 2: Convert to fraction form
    395,412.75/850,899.94 = 850,899.94/x
  3. Step 3: Cross multiply
    395,412.75x = 850,899.94 × 850,899.94
  4. Step 4: Simplify right side
    395,412.75x = 724,030,703,637.50
  5. Step 5: Solve for x
    x = 724,030,703,637.50/395,412.75
  6. Step 6: Final answer
    x = 1,831,075.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.