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Finding the Third Proportional to 222,582 and 525,093

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Solution

The third proportional to 222,582 and 525,093 is: 1,238,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,582 : 525,093 = 525,093 : x
  2. Step 2: Convert to fraction form
    222,582/525,093 = 525,093/x
  3. Step 3: Cross multiply
    222,582x = 525,093 × 525,093
  4. Step 4: Simplify right side
    222,582x = 275,722,658,649
  5. Step 5: Solve for x
    x = 275,722,658,649/222,582
  6. Step 6: Final answer
    x = 1,238,746.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.