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Finding the Third Proportional to 253,996 and 542,984

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Solution

The third proportional to 253,996 and 542,984 is: 1,160,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,996 : 542,984 = 542,984 : x
  2. Step 2: Convert to fraction form
    253,996/542,984 = 542,984/x
  3. Step 3: Cross multiply
    253,996x = 542,984 × 542,984
  4. Step 4: Simplify right side
    253,996x = 294,831,624,256
  5. Step 5: Solve for x
    x = 294,831,624,256/253,996
  6. Step 6: Final answer
    x = 1,160,772.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.