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Finding the Third Proportional to 219,017.25 and 470,792.25

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Solution

The third proportional to 219,017.25 and 470,792.25 is: 1,011,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,017.25 : 470,792.25 = 470,792.25 : x
  2. Step 2: Convert to fraction form
    219,017.25/470,792.25 = 470,792.25/x
  3. Step 3: Cross multiply
    219,017.25x = 470,792.25 × 470,792.25
  4. Step 4: Simplify right side
    219,017.25x = 221,645,342,660.06
  5. Step 5: Solve for x
    x = 221,645,342,660.06/219,017.25
  6. Step 6: Final answer
    x = 1,011,999.48

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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.