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Finding the Third Proportional to 229,541 and 492,286

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Solution

The third proportional to 229,541 and 492,286 is: 1,055,783.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,541 : 492,286 = 492,286 : x
  2. Step 2: Convert to fraction form
    229,541/492,286 = 492,286/x
  3. Step 3: Cross multiply
    229,541x = 492,286 × 492,286
  4. Step 4: Simplify right side
    229,541x = 242,345,505,796
  5. Step 5: Solve for x
    x = 242,345,505,796/229,541
  6. Step 6: Final answer
    x = 1,055,783.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.