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Finding the Third Proportional to 262,936 and 575,628

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Solution

The third proportional to 262,936 and 575,628 is: 1,260,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,936 : 575,628 = 575,628 : x
  2. Step 2: Convert to fraction form
    262,936/575,628 = 575,628/x
  3. Step 3: Cross multiply
    262,936x = 575,628 × 575,628
  4. Step 4: Simplify right side
    262,936x = 331,347,594,384
  5. Step 5: Solve for x
    x = 331,347,594,384/262,936
  6. Step 6: Final answer
    x = 1,260,183.45

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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.