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Finding the Third Proportional to 218,622 and 470,457

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Solution

The third proportional to 218,622 and 470,457 is: 1,012,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,622 : 470,457 = 470,457 : x
  2. Step 2: Convert to fraction form
    218,622/470,457 = 470,457/x
  3. Step 3: Cross multiply
    218,622x = 470,457 × 470,457
  4. Step 4: Simplify right side
    218,622x = 221,329,788,849
  5. Step 5: Solve for x
    x = 221,329,788,849/218,622
  6. Step 6: Final answer
    x = 1,012,385.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.