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Finding the Third Proportional to 222,931 and 482,222

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Solution

The third proportional to 222,931 and 482,222 is: 1,043,094.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,931 : 482,222 = 482,222 : x
  2. Step 2: Convert to fraction form
    222,931/482,222 = 482,222/x
  3. Step 3: Cross multiply
    222,931x = 482,222 × 482,222
  4. Step 4: Simplify right side
    222,931x = 232,538,057,284
  5. Step 5: Solve for x
    x = 232,538,057,284/222,931
  6. Step 6: Final answer
    x = 1,043,094.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.