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Finding the Third Proportional to 416,277 and 891,604.50

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Solution

The third proportional to 416,277 and 891,604.50 is: 1,909,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,277 : 891,604.50 = 891,604.50 : x
  2. Step 2: Convert to fraction form
    416,277/891,604.50 = 891,604.50/x
  3. Step 3: Cross multiply
    416,277x = 891,604.50 × 891,604.50
  4. Step 4: Simplify right side
    416,277x = 794,958,584,420.25
  5. Step 5: Solve for x
    x = 794,958,584,420.25/416,277
  6. Step 6: Final answer
    x = 1,909,686.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.