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Finding the Third Proportional to 500,546.25 and 1,079,831.25

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Solution

The third proportional to 500,546.25 and 1,079,831.25 is: 2,329,526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,546.25 : 1,079,831.25 = 1,079,831.25 : x
  2. Step 2: Convert to fraction form
    500,546.25/1,079,831.25 = 1,079,831.25/x
  3. Step 3: Cross multiply
    500,546.25x = 1,079,831.25 × 1,079,831.25
  4. Step 4: Simplify right side
    500,546.25x = 1,166,035,528,476.56
  5. Step 5: Solve for x
    x = 1,166,035,528,476.56/500,546.25
  6. Step 6: Final answer
    x = 2,329,526.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.