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Finding the Third Proportional to 217,009.13 and 470,103.75

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Solution

The third proportional to 217,009.13 and 470,103.75 is: 1,018,379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,009.13 : 470,103.75 = 470,103.75 : x
  2. Step 2: Convert to fraction form
    217,009.13/470,103.75 = 470,103.75/x
  3. Step 3: Cross multiply
    217,009.13x = 470,103.75 × 470,103.75
  4. Step 4: Simplify right side
    217,009.13x = 220,997,535,764.06
  5. Step 5: Solve for x
    x = 220,997,535,764.06/217,009.13
  6. Step 6: Final answer
    x = 1,018,379.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.