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Finding the Third Proportional to 238,848 and 521,984

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Solution

The third proportional to 238,848 and 521,984 is: 1,140,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,848 : 521,984 = 521,984 : x
  2. Step 2: Convert to fraction form
    238,848/521,984 = 521,984/x
  3. Step 3: Cross multiply
    238,848x = 521,984 × 521,984
  4. Step 4: Simplify right side
    238,848x = 272,467,296,256
  5. Step 5: Solve for x
    x = 272,467,296,256/238,848
  6. Step 6: Final answer
    x = 1,140,756.03

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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.