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Finding the Third Proportional to 262,336 and 579,804

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Solution

The third proportional to 262,336 and 579,804 is: 1,281,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,336 : 579,804 = 579,804 : x
  2. Step 2: Convert to fraction form
    262,336/579,804 = 579,804/x
  3. Step 3: Cross multiply
    262,336x = 579,804 × 579,804
  4. Step 4: Simplify right side
    262,336x = 336,172,678,416
  5. Step 5: Solve for x
    x = 336,172,678,416/262,336
  6. Step 6: Final answer
    x = 1,281,458.43

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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.