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Finding the Third Proportional to 378,114.75 and 585,761.63

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Solution

The third proportional to 378,114.75 and 585,761.63 is: 907,440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,114.75 : 585,761.63 = 585,761.63 : x
  2. Step 2: Convert to fraction form
    378,114.75/585,761.63 = 585,761.63/x
  3. Step 3: Cross multiply
    378,114.75x = 585,761.63 × 585,761.63
  4. Step 4: Simplify right side
    378,114.75x = 343,116,681,322.64
  5. Step 5: Solve for x
    x = 343,116,681,322.64/378,114.75
  6. Step 6: Final answer
    x = 907,440.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.