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Finding the Third Proportional to 262,332 and 579,796

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Solution

The third proportional to 262,332 and 579,796 is: 1,281,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,332 : 579,796 = 579,796 : x
  2. Step 2: Convert to fraction form
    262,332/579,796 = 579,796/x
  3. Step 3: Cross multiply
    262,332x = 579,796 × 579,796
  4. Step 4: Simplify right side
    262,332x = 336,163,401,616
  5. Step 5: Solve for x
    x = 336,163,401,616/262,332
  6. Step 6: Final answer
    x = 1,281,442.61

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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.