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Finding the Third Proportional to 226,534 and 529,075

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Solution

The third proportional to 226,534 and 529,075 is: 1,235,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,534 : 529,075 = 529,075 : x
  2. Step 2: Convert to fraction form
    226,534/529,075 = 529,075/x
  3. Step 3: Cross multiply
    226,534x = 529,075 × 529,075
  4. Step 4: Simplify right side
    226,534x = 279,920,355,625
  5. Step 5: Solve for x
    x = 279,920,355,625/226,534
  6. Step 6: Final answer
    x = 1,235,665.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.