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Finding the Third Proportional to 403,598.50 and 878,137.75

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Solution

The third proportional to 403,598.50 and 878,137.75 is: 1,910,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,598.50 : 878,137.75 = 878,137.75 : x
  2. Step 2: Convert to fraction form
    403,598.50/878,137.75 = 878,137.75/x
  3. Step 3: Cross multiply
    403,598.50x = 878,137.75 × 878,137.75
  4. Step 4: Simplify right side
    403,598.50x = 771,125,907,975.06
  5. Step 5: Solve for x
    x = 771,125,907,975.06/403,598.50
  6. Step 6: Final answer
    x = 1,910,626.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.