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Finding the Third Proportional to 218,825.30 and 473,622.19

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Solution

The third proportional to 218,825.30 and 473,622.19 is: 1,025,100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,825.30 : 473,622.19 = 473,622.19 : x
  2. Step 2: Convert to fraction form
    218,825.30/473,622.19 = 473,622.19/x
  3. Step 3: Cross multiply
    218,825.30x = 473,622.19 × 473,622.19
  4. Step 4: Simplify right side
    218,825.30x = 224,317,976,492.29
  5. Step 5: Solve for x
    x = 224,317,976,492.29/218,825.30
  6. Step 6: Final answer
    x = 1,025,100.75

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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.