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Finding the Third Proportional to 222,056 and 475,840

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Solution

The third proportional to 222,056 and 475,840 is: 1,019,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,056 : 475,840 = 475,840 : x
  2. Step 2: Convert to fraction form
    222,056/475,840 = 475,840/x
  3. Step 3: Cross multiply
    222,056x = 475,840 × 475,840
  4. Step 4: Simplify right side
    222,056x = 226,423,705,600
  5. Step 5: Solve for x
    x = 226,423,705,600/222,056
  6. Step 6: Final answer
    x = 1,019,669.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.