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Finding the Third Proportional to 262,300.50 and 470,621.25

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Solution

The third proportional to 262,300.50 and 470,621.25 is: 844,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,300.50 : 470,621.25 = 470,621.25 : x
  2. Step 2: Convert to fraction form
    262,300.50/470,621.25 = 470,621.25/x
  3. Step 3: Cross multiply
    262,300.50x = 470,621.25 × 470,621.25
  4. Step 4: Simplify right side
    262,300.50x = 221,484,360,951.56
  5. Step 5: Solve for x
    x = 221,484,360,951.56/262,300.50
  6. Step 6: Final answer
    x = 844,391.68

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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.