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Finding the Third Proportional to 200,570 and 413,852

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Solution

The third proportional to 200,570 and 413,852 is: 853,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,570 : 413,852 = 413,852 : x
  2. Step 2: Convert to fraction form
    200,570/413,852 = 413,852/x
  3. Step 3: Cross multiply
    200,570x = 413,852 × 413,852
  4. Step 4: Simplify right side
    200,570x = 171,273,477,904
  5. Step 5: Solve for x
    x = 171,273,477,904/200,570
  6. Step 6: Final answer
    x = 853,933.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.