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Finding the Third Proportional to 215,708.06 and 470,349.28

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Solution

The third proportional to 215,708.06 and 470,349.28 is: 1,025,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,708.06 : 470,349.28 = 470,349.28 : x
  2. Step 2: Convert to fraction form
    215,708.06/470,349.28 = 470,349.28/x
  3. Step 3: Cross multiply
    215,708.06x = 470,349.28 × 470,349.28
  4. Step 4: Simplify right side
    215,708.06x = 221,228,446,372.39
  5. Step 5: Solve for x
    x = 221,228,446,372.39/215,708.06
  6. Step 6: Final answer
    x = 1,025,591.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.