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Finding the Third Proportional to 229,409 and 493,969

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Solution

The third proportional to 229,409 and 493,969 is: 1,063,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,409 : 493,969 = 493,969 : x
  2. Step 2: Convert to fraction form
    229,409/493,969 = 493,969/x
  3. Step 3: Cross multiply
    229,409x = 493,969 × 493,969
  4. Step 4: Simplify right side
    229,409x = 244,005,372,961
  5. Step 5: Solve for x
    x = 244,005,372,961/229,409
  6. Step 6: Final answer
    x = 1,063,625.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.