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Finding the Third Proportional to 262,348 and 579,824

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Solution

The third proportional to 262,348 and 579,824 is: 1,281,488.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,348 : 579,824 = 579,824 : x
  2. Step 2: Convert to fraction form
    262,348/579,824 = 579,824/x
  3. Step 3: Cross multiply
    262,348x = 579,824 × 579,824
  4. Step 4: Simplify right side
    262,348x = 336,195,870,976
  5. Step 5: Solve for x
    x = 336,195,870,976/262,348
  6. Step 6: Final answer
    x = 1,281,488.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.