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Finding the Third Proportional to 265,456 and 577,568

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Solution

The third proportional to 265,456 and 577,568 is: 1,256,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,456 : 577,568 = 577,568 : x
  2. Step 2: Convert to fraction form
    265,456/577,568 = 577,568/x
  3. Step 3: Cross multiply
    265,456x = 577,568 × 577,568
  4. Step 4: Simplify right side
    265,456x = 333,584,794,624
  5. Step 5: Solve for x
    x = 333,584,794,624/265,456
  6. Step 6: Final answer
    x = 1,256,648.16

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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.