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Finding the Third Proportional to 200,565 and 417,942

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Solution

The third proportional to 200,565 and 417,942 is: 870,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,565 : 417,942 = 417,942 : x
  2. Step 2: Convert to fraction form
    200,565/417,942 = 417,942/x
  3. Step 3: Cross multiply
    200,565x = 417,942 × 417,942
  4. Step 4: Simplify right side
    200,565x = 174,675,515,364
  5. Step 5: Solve for x
    x = 174,675,515,364/200,565
  6. Step 6: Final answer
    x = 870,917.24

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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.