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Finding the Third Proportional to 200,079 and 429,546

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Solution

The third proportional to 200,079 and 429,546 is: 922,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,079 : 429,546 = 429,546 : x
  2. Step 2: Convert to fraction form
    200,079/429,546 = 429,546/x
  3. Step 3: Cross multiply
    200,079x = 429,546 × 429,546
  4. Step 4: Simplify right side
    200,079x = 184,509,766,116
  5. Step 5: Solve for x
    x = 184,509,766,116/200,079
  6. Step 6: Final answer
    x = 922,184.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.