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Finding the Third Proportional to 200,584 and 417,704

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Solution

The third proportional to 200,584 and 417,704 is: 869,843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,584 : 417,704 = 417,704 : x
  2. Step 2: Convert to fraction form
    200,584/417,704 = 417,704/x
  3. Step 3: Cross multiply
    200,584x = 417,704 × 417,704
  4. Step 4: Simplify right side
    200,584x = 174,476,631,616
  5. Step 5: Solve for x
    x = 174,476,631,616/200,584
  6. Step 6: Final answer
    x = 869,843.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.