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Finding the Third Proportional to 222,557.63 and 471,602.25

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Solution

The third proportional to 222,557.63 and 471,602.25 is: 999,330.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,557.63 : 471,602.25 = 471,602.25 : x
  2. Step 2: Convert to fraction form
    222,557.63/471,602.25 = 471,602.25/x
  3. Step 3: Cross multiply
    222,557.63x = 471,602.25 × 471,602.25
  4. Step 4: Simplify right side
    222,557.63x = 222,408,682,205.06
  5. Step 5: Solve for x
    x = 222,408,682,205.06/222,557.63
  6. Step 6: Final answer
    x = 999,330.77

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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.