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Finding the Third Proportional to 229,431 and 492,087

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Solution

The third proportional to 229,431 and 492,087 is: 1,055,435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,431 : 492,087 = 492,087 : x
  2. Step 2: Convert to fraction form
    229,431/492,087 = 492,087/x
  3. Step 3: Cross multiply
    229,431x = 492,087 × 492,087
  4. Step 4: Simplify right side
    229,431x = 242,149,615,569
  5. Step 5: Solve for x
    x = 242,149,615,569/229,431
  6. Step 6: Final answer
    x = 1,055,435.47

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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.