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Finding the Third Proportional to 200,586 and 432,519

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Solution

The third proportional to 200,586 and 432,519 is: 932,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,586 : 432,519 = 432,519 : x
  2. Step 2: Convert to fraction form
    200,586/432,519 = 432,519/x
  3. Step 3: Cross multiply
    200,586x = 432,519 × 432,519
  4. Step 4: Simplify right side
    200,586x = 187,072,685,361
  5. Step 5: Solve for x
    x = 187,072,685,361/200,586
  6. Step 6: Final answer
    x = 932,630.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.