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Finding the Third Proportional to 225,928.13 and 470,566.13

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Solution

The third proportional to 225,928.13 and 470,566.13 is: 980,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,928.13 : 470,566.13 = 470,566.13 : x
  2. Step 2: Convert to fraction form
    225,928.13/470,566.13 = 470,566.13/x
  3. Step 3: Cross multiply
    225,928.13x = 470,566.13 × 470,566.13
  4. Step 4: Simplify right side
    225,928.13x = 221,432,477,997.52
  5. Step 5: Solve for x
    x = 221,432,477,997.52/225,928.13
  6. Step 6: Final answer
    x = 980,101.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.