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Finding the Third Proportional to 450,079.75 and 977,431.75

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Solution

The third proportional to 450,079.75 and 977,431.75 is: 2,122,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,079.75 : 977,431.75 = 977,431.75 : x
  2. Step 2: Convert to fraction form
    450,079.75/977,431.75 = 977,431.75/x
  3. Step 3: Cross multiply
    450,079.75x = 977,431.75 × 977,431.75
  4. Step 4: Simplify right side
    450,079.75x = 955,372,825,908.06
  5. Step 5: Solve for x
    x = 955,372,825,908.06/450,079.75
  6. Step 6: Final answer
    x = 2,122,674.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.