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Finding the Third Proportional to 578,466.75 and 1,185,121.50

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Solution

The third proportional to 578,466.75 and 1,185,121.50 is: 2,427,992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,466.75 : 1,185,121.50 = 1,185,121.50 : x
  2. Step 2: Convert to fraction form
    578,466.75/1,185,121.50 = 1,185,121.50/x
  3. Step 3: Cross multiply
    578,466.75x = 1,185,121.50 × 1,185,121.50
  4. Step 4: Simplify right side
    578,466.75x = 1,404,512,969,762.25
  5. Step 5: Solve for x
    x = 1,404,512,969,762.25/578,466.75
  6. Step 6: Final answer
    x = 2,427,992.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.