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Finding the Third Proportional to 366,153.75 and 771,673.50

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Solution

The third proportional to 366,153.75 and 771,673.50 is: 1,626,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,153.75 : 771,673.50 = 771,673.50 : x
  2. Step 2: Convert to fraction form
    366,153.75/771,673.50 = 771,673.50/x
  3. Step 3: Cross multiply
    366,153.75x = 771,673.50 × 771,673.50
  4. Step 4: Simplify right side
    366,153.75x = 595,479,990,602.25
  5. Step 5: Solve for x
    x = 595,479,990,602.25/366,153.75
  6. Step 6: Final answer
    x = 1,626,311.33

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.