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Finding the Third Proportional to 244,466 and 504,160

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Solution

The third proportional to 244,466 and 504,160 is: 1,039,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,466 : 504,160 = 504,160 : x
  2. Step 2: Convert to fraction form
    244,466/504,160 = 504,160/x
  3. Step 3: Cross multiply
    244,466x = 504,160 × 504,160
  4. Step 4: Simplify right side
    244,466x = 254,177,305,600
  5. Step 5: Solve for x
    x = 254,177,305,600/244,466
  6. Step 6: Final answer
    x = 1,039,724.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.