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Finding the Third Proportional to 248,912 and 377,984

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Solution

The third proportional to 248,912 and 377,984 is: 573,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,912 : 377,984 = 377,984 : x
  2. Step 2: Convert to fraction form
    248,912/377,984 = 377,984/x
  3. Step 3: Cross multiply
    248,912x = 377,984 × 377,984
  4. Step 4: Simplify right side
    248,912x = 142,871,904,256
  5. Step 5: Solve for x
    x = 142,871,904,256/248,912
  6. Step 6: Final answer
    x = 573,985.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.