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Finding the Third Proportional to 364,831.50 and 582,810

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Solution

The third proportional to 364,831.50 and 582,810 is: 931,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,831.50 : 582,810 = 582,810 : x
  2. Step 2: Convert to fraction form
    364,831.50/582,810 = 582,810/x
  3. Step 3: Cross multiply
    364,831.50x = 582,810 × 582,810
  4. Step 4: Simplify right side
    364,831.50x = 339,667,496,100
  5. Step 5: Solve for x
    x = 339,667,496,100/364,831.50
  6. Step 6: Final answer
    x = 931,025.68

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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.