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Finding the Third Proportional to 364,779.84 and 582,741.84

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Solution

The third proportional to 364,779.84 and 582,741.84 is: 930,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,779.84 : 582,741.84 = 582,741.84 : x
  2. Step 2: Convert to fraction form
    364,779.84/582,741.84 = 582,741.84/x
  3. Step 3: Cross multiply
    364,779.84x = 582,741.84 × 582,741.84
  4. Step 4: Simplify right side
    364,779.84x = 339,588,056,457.15
  5. Step 5: Solve for x
    x = 339,588,056,457.15/364,779.84
  6. Step 6: Final answer
    x = 930,939.75

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.