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Finding the Third Proportional to 264,788 and 576,168

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Solution

The third proportional to 264,788 and 576,168 is: 1,253,718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,788 : 576,168 = 576,168 : x
  2. Step 2: Convert to fraction form
    264,788/576,168 = 576,168/x
  3. Step 3: Cross multiply
    264,788x = 576,168 × 576,168
  4. Step 4: Simplify right side
    264,788x = 331,969,564,224
  5. Step 5: Solve for x
    x = 331,969,564,224/264,788
  6. Step 6: Final answer
    x = 1,253,718.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.