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Finding the Third Proportional to 200,852 and 436,264

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Solution

The third proportional to 200,852 and 436,264 is: 947,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,852 : 436,264 = 436,264 : x
  2. Step 2: Convert to fraction form
    200,852/436,264 = 436,264/x
  3. Step 3: Cross multiply
    200,852x = 436,264 × 436,264
  4. Step 4: Simplify right side
    200,852x = 190,326,277,696
  5. Step 5: Solve for x
    x = 190,326,277,696/200,852
  6. Step 6: Final answer
    x = 947,594.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.