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Finding the Third Proportional to 222,744.94 and 473,095.69

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Solution

The third proportional to 222,744.94 and 473,095.69 is: 1,004,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,744.94 : 473,095.69 = 473,095.69 : x
  2. Step 2: Convert to fraction form
    222,744.94/473,095.69 = 473,095.69/x
  3. Step 3: Cross multiply
    222,744.94x = 473,095.69 × 473,095.69
  4. Step 4: Simplify right side
    222,744.94x = 223,819,529,531.10
  5. Step 5: Solve for x
    x = 223,819,529,531.10/222,744.94
  6. Step 6: Final answer
    x = 1,004,824.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.