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Finding the Third Proportional to 590,230.50 and 892,365.75

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Solution

The third proportional to 590,230.50 and 892,365.75 is: 1,349,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,230.50 : 892,365.75 = 892,365.75 : x
  2. Step 2: Convert to fraction form
    590,230.50/892,365.75 = 892,365.75/x
  3. Step 3: Cross multiply
    590,230.50x = 892,365.75 × 892,365.75
  4. Step 4: Simplify right side
    590,230.50x = 796,316,631,773.06
  5. Step 5: Solve for x
    x = 796,316,631,773.06/590,230.50
  6. Step 6: Final answer
    x = 1,349,162.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.