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Finding the Third Proportional to 368,418.38 and 585,840.09

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Solution

The third proportional to 368,418.38 and 585,840.09 is: 931,573.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,418.38 : 585,840.09 = 585,840.09 : x
  2. Step 2: Convert to fraction form
    368,418.38/585,840.09 = 585,840.09/x
  3. Step 3: Cross multiply
    368,418.38x = 585,840.09 × 585,840.09
  4. Step 4: Simplify right side
    368,418.38x = 343,208,615,445.01
  5. Step 5: Solve for x
    x = 343,208,615,445.01/368,418.38
  6. Step 6: Final answer
    x = 931,573.01

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.