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Finding the Third Proportional to 217,830 and 470,074.50

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Solution

The third proportional to 217,830 and 470,074.50 is: 1,014,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,830 : 470,074.50 = 470,074.50 : x
  2. Step 2: Convert to fraction form
    217,830/470,074.50 = 470,074.50/x
  3. Step 3: Cross multiply
    217,830x = 470,074.50 × 470,074.50
  4. Step 4: Simplify right side
    217,830x = 220,970,035,550.25
  5. Step 5: Solve for x
    x = 220,970,035,550.25/217,830
  6. Step 6: Final answer
    x = 1,014,415.07

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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.