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Finding the Third Proportional to 265,920 and 579,456

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Solution

The third proportional to 265,920 and 579,456 is: 1,262,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,920 : 579,456 = 579,456 : x
  2. Step 2: Convert to fraction form
    265,920/579,456 = 579,456/x
  3. Step 3: Cross multiply
    265,920x = 579,456 × 579,456
  4. Step 4: Simplify right side
    265,920x = 335,769,255,936
  5. Step 5: Solve for x
    x = 335,769,255,936/265,920
  6. Step 6: Final answer
    x = 1,262,670.19

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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.