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Finding the Third Proportional to 200,862 and 432,844

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Solution

The third proportional to 200,862 and 432,844 is: 932,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,862 : 432,844 = 432,844 : x
  2. Step 2: Convert to fraction form
    200,862/432,844 = 432,844/x
  3. Step 3: Cross multiply
    200,862x = 432,844 × 432,844
  4. Step 4: Simplify right side
    200,862x = 187,353,928,336
  5. Step 5: Solve for x
    x = 187,353,928,336/200,862
  6. Step 6: Final answer
    x = 932,749.49

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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.