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Finding the Third Proportional to 262,299 and 470,617.50

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Solution

The third proportional to 262,299 and 470,617.50 is: 844,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,299 : 470,617.50 = 470,617.50 : x
  2. Step 2: Convert to fraction form
    262,299/470,617.50 = 470,617.50/x
  3. Step 3: Cross multiply
    262,299x = 470,617.50 × 470,617.50
  4. Step 4: Simplify right side
    262,299x = 221,480,831,306.25
  5. Step 5: Solve for x
    x = 221,480,831,306.25/262,299
  6. Step 6: Final answer
    x = 844,383.06

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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.