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Finding the Third Proportional to 538,465.50 and 1,166,080.50

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Solution

The third proportional to 538,465.50 and 1,166,080.50 is: 2,525,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,465.50 : 1,166,080.50 = 1,166,080.50 : x
  2. Step 2: Convert to fraction form
    538,465.50/1,166,080.50 = 1,166,080.50/x
  3. Step 3: Cross multiply
    538,465.50x = 1,166,080.50 × 1,166,080.50
  4. Step 4: Simplify right side
    538,465.50x = 1,359,743,732,480.25
  5. Step 5: Solve for x
    x = 1,359,743,732,480.25/538,465.50
  6. Step 6: Final answer
    x = 2,525,219.78

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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.