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Finding the Third Proportional to 229,970 and 494,932

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Solution

The third proportional to 229,970 and 494,932 is: 1,065,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,970 : 494,932 = 494,932 : x
  2. Step 2: Convert to fraction form
    229,970/494,932 = 494,932/x
  3. Step 3: Cross multiply
    229,970x = 494,932 × 494,932
  4. Step 4: Simplify right side
    229,970x = 244,957,684,624
  5. Step 5: Solve for x
    x = 244,957,684,624/229,970
  6. Step 6: Final answer
    x = 1,065,172.35

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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.