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Finding the Third Proportional to 226,530 and 529,065

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Solution

The third proportional to 226,530 and 529,065 is: 1,235,641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,530 : 529,065 = 529,065 : x
  2. Step 2: Convert to fraction form
    226,530/529,065 = 529,065/x
  3. Step 3: Cross multiply
    226,530x = 529,065 × 529,065
  4. Step 4: Simplify right side
    226,530x = 279,909,774,225
  5. Step 5: Solve for x
    x = 279,909,774,225/226,530
  6. Step 6: Final answer
    x = 1,235,641.08

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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.