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Finding the Third Proportional to 233,806.50 and 495,436.50

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Solution

The third proportional to 233,806.50 and 495,436.50 is: 1,049,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,806.50 : 495,436.50 = 495,436.50 : x
  2. Step 2: Convert to fraction form
    233,806.50/495,436.50 = 495,436.50/x
  3. Step 3: Cross multiply
    233,806.50x = 495,436.50 × 495,436.50
  4. Step 4: Simplify right side
    233,806.50x = 245,457,325,532.25
  5. Step 5: Solve for x
    x = 245,457,325,532.25/233,806.50
  6. Step 6: Final answer
    x = 1,049,831.06

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.