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Finding the Third Proportional to 244,384 and 364,272

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Solution

The third proportional to 244,384 and 364,272 is: 542,973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,384 : 364,272 = 364,272 : x
  2. Step 2: Convert to fraction form
    244,384/364,272 = 364,272/x
  3. Step 3: Cross multiply
    244,384x = 364,272 × 364,272
  4. Step 4: Simplify right side
    244,384x = 132,694,089,984
  5. Step 5: Solve for x
    x = 132,694,089,984/244,384
  6. Step 6: Final answer
    x = 542,973.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.