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Finding the Third Proportional to 362,636 and 509,766

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Solution

The third proportional to 362,636 and 509,766 is: 716,590.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,636 : 509,766 = 509,766 : x
  2. Step 2: Convert to fraction form
    362,636/509,766 = 509,766/x
  3. Step 3: Cross multiply
    362,636x = 509,766 × 509,766
  4. Step 4: Simplify right side
    362,636x = 259,861,374,756
  5. Step 5: Solve for x
    x = 259,861,374,756/362,636
  6. Step 6: Final answer
    x = 716,590.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.