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Finding the Third Proportional to 263,664 and 577,512

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Solution

The third proportional to 263,664 and 577,512 is: 1,264,943.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,664 : 577,512 = 577,512 : x
  2. Step 2: Convert to fraction form
    263,664/577,512 = 577,512/x
  3. Step 3: Cross multiply
    263,664x = 577,512 × 577,512
  4. Step 4: Simplify right side
    263,664x = 333,520,110,144
  5. Step 5: Solve for x
    x = 333,520,110,144/263,664
  6. Step 6: Final answer
    x = 1,264,943.68

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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.