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Finding the Third Proportional to 229,616 and 494,416

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Solution

The third proportional to 229,616 and 494,416 is: 1,064,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,616 : 494,416 = 494,416 : x
  2. Step 2: Convert to fraction form
    229,616/494,416 = 494,416/x
  3. Step 3: Cross multiply
    229,616x = 494,416 × 494,416
  4. Step 4: Simplify right side
    229,616x = 244,447,181,056
  5. Step 5: Solve for x
    x = 244,447,181,056/229,616
  6. Step 6: Final answer
    x = 1,064,591.24

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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.