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Finding the Third Proportional to 200,517 and 417,620

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Solution

The third proportional to 200,517 and 417,620 is: 869,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,517 : 417,620 = 417,620 : x
  2. Step 2: Convert to fraction form
    200,517/417,620 = 417,620/x
  3. Step 3: Cross multiply
    200,517x = 417,620 × 417,620
  4. Step 4: Simplify right side
    200,517x = 174,406,464,400
  5. Step 5: Solve for x
    x = 174,406,464,400/200,517
  6. Step 6: Final answer
    x = 869,783.93

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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.