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Finding the Third Proportional to 376,256 and 501,600

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Solution

The third proportional to 376,256 and 501,600 is: 668,700.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,256 : 501,600 = 501,600 : x
  2. Step 2: Convert to fraction form
    376,256/501,600 = 501,600/x
  3. Step 3: Cross multiply
    376,256x = 501,600 × 501,600
  4. Step 4: Simplify right side
    376,256x = 251,602,560,000
  5. Step 5: Solve for x
    x = 251,602,560,000/376,256
  6. Step 6: Final answer
    x = 668,700.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.