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Finding the Third Proportional to 367,051.50 and 580,122

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Solution

The third proportional to 367,051.50 and 580,122 is: 916,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,051.50 : 580,122 = 580,122 : x
  2. Step 2: Convert to fraction form
    367,051.50/580,122 = 580,122/x
  3. Step 3: Cross multiply
    367,051.50x = 580,122 × 580,122
  4. Step 4: Simplify right side
    367,051.50x = 336,541,534,884
  5. Step 5: Solve for x
    x = 336,541,534,884/367,051.50
  6. Step 6: Final answer
    x = 916,878.24

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.