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Finding the Third Proportional to 200,819 and 434,699

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Solution

The third proportional to 200,819 and 434,699 is: 940,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,819 : 434,699 = 434,699 : x
  2. Step 2: Convert to fraction form
    200,819/434,699 = 434,699/x
  3. Step 3: Cross multiply
    200,819x = 434,699 × 434,699
  4. Step 4: Simplify right side
    200,819x = 188,963,220,601
  5. Step 5: Solve for x
    x = 188,963,220,601/200,819
  6. Step 6: Final answer
    x = 940,962.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.