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Finding the Third Proportional to 214,507.97 and 470,227.22

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Solution

The third proportional to 214,507.97 and 470,227.22 is: 1,030,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,507.97 : 470,227.22 = 470,227.22 : x
  2. Step 2: Convert to fraction form
    214,507.97/470,227.22 = 470,227.22/x
  3. Step 3: Cross multiply
    214,507.97x = 470,227.22 × 470,227.22
  4. Step 4: Simplify right side
    214,507.97x = 221,113,637,253.36
  5. Step 5: Solve for x
    x = 221,113,637,253.36/214,507.97
  6. Step 6: Final answer
    x = 1,030,794.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.