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Finding the Third Proportional to 244,836 and 519,066

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Solution

The third proportional to 244,836 and 519,066 is: 1,100,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,836 : 519,066 = 519,066 : x
  2. Step 2: Convert to fraction form
    244,836/519,066 = 519,066/x
  3. Step 3: Cross multiply
    244,836x = 519,066 × 519,066
  4. Step 4: Simplify right side
    244,836x = 269,429,512,356
  5. Step 5: Solve for x
    x = 269,429,512,356/244,836
  6. Step 6: Final answer
    x = 1,100,448.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.