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Finding the Third Proportional to 200,804 and 436,598

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Solution

The third proportional to 200,804 and 436,598 is: 949,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,804 : 436,598 = 436,598 : x
  2. Step 2: Convert to fraction form
    200,804/436,598 = 436,598/x
  3. Step 3: Cross multiply
    200,804x = 436,598 × 436,598
  4. Step 4: Simplify right side
    200,804x = 190,617,813,604
  5. Step 5: Solve for x
    x = 190,617,813,604/200,804
  6. Step 6: Final answer
    x = 949,272.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.