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Finding the Third Proportional to 222,854.63 and 470,309.63

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Solution

The third proportional to 222,854.63 and 470,309.63 is: 992,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,854.63 : 470,309.63 = 470,309.63 : x
  2. Step 2: Convert to fraction form
    222,854.63/470,309.63 = 470,309.63/x
  3. Step 3: Cross multiply
    222,854.63x = 470,309.63 × 470,309.63
  4. Step 4: Simplify right side
    222,854.63x = 221,191,143,367.64
  5. Step 5: Solve for x
    x = 221,191,143,367.64/222,854.63
  6. Step 6: Final answer
    x = 992,535.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.