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Finding the Third Proportional to 248,735 and 544,126

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Solution

The third proportional to 248,735 and 544,126 is: 1,190,315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,735 : 544,126 = 544,126 : x
  2. Step 2: Convert to fraction form
    248,735/544,126 = 544,126/x
  3. Step 3: Cross multiply
    248,735x = 544,126 × 544,126
  4. Step 4: Simplify right side
    248,735x = 296,073,103,876
  5. Step 5: Solve for x
    x = 296,073,103,876/248,735
  6. Step 6: Final answer
    x = 1,190,315.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.