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Finding the Third Proportional to 267,128 and 575,728

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Solution

The third proportional to 267,128 and 575,728 is: 1,240,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,128 : 575,728 = 575,728 : x
  2. Step 2: Convert to fraction form
    267,128/575,728 = 575,728/x
  3. Step 3: Cross multiply
    267,128x = 575,728 × 575,728
  4. Step 4: Simplify right side
    267,128x = 331,462,729,984
  5. Step 5: Solve for x
    x = 331,462,729,984/267,128
  6. Step 6: Final answer
    x = 1,240,838.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.