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Finding the Third Proportional to 200,494 and 417,574

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Solution

The third proportional to 200,494 and 417,574 is: 869,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,494 : 417,574 = 417,574 : x
  2. Step 2: Convert to fraction form
    200,494/417,574 = 417,574/x
  3. Step 3: Cross multiply
    200,494x = 417,574 × 417,574
  4. Step 4: Simplify right side
    200,494x = 174,368,045,476
  5. Step 5: Solve for x
    x = 174,368,045,476/200,494
  6. Step 6: Final answer
    x = 869,692.09

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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.