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Finding the Third Proportional to 200,834 and 432,796

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Solution

The third proportional to 200,834 and 432,796 is: 932,672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,834 : 432,796 = 432,796 : x
  2. Step 2: Convert to fraction form
    200,834/432,796 = 432,796/x
  3. Step 3: Cross multiply
    200,834x = 432,796 × 432,796
  4. Step 4: Simplify right side
    200,834x = 187,312,377,616
  5. Step 5: Solve for x
    x = 187,312,377,616/200,834
  6. Step 6: Final answer
    x = 932,672.64

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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.