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Finding the Third Proportional to 362,616 and 509,742

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Solution

The third proportional to 362,616 and 509,742 is: 716,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,616 : 509,742 = 509,742 : x
  2. Step 2: Convert to fraction form
    362,616/509,742 = 509,742/x
  3. Step 3: Cross multiply
    362,616x = 509,742 × 509,742
  4. Step 4: Simplify right side
    362,616x = 259,836,906,564
  5. Step 5: Solve for x
    x = 259,836,906,564/362,616
  6. Step 6: Final answer
    x = 716,562.17

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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.