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Finding the Third Proportional to 217,873.13 and 470,161.13

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Solution

The third proportional to 217,873.13 and 470,161.13 is: 1,014,588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,873.13 : 470,161.13 = 470,161.13 : x
  2. Step 2: Convert to fraction form
    217,873.13/470,161.13 = 470,161.13/x
  3. Step 3: Cross multiply
    217,873.13x = 470,161.13 × 470,161.13
  4. Step 4: Simplify right side
    217,873.13x = 221,051,483,461.27
  5. Step 5: Solve for x
    x = 221,051,483,461.27/217,873.13
  6. Step 6: Final answer
    x = 1,014,588.12

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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.