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Finding the Third Proportional to 200,906 and 432,892

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Solution

The third proportional to 200,906 and 432,892 is: 932,752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,906 : 432,892 = 432,892 : x
  2. Step 2: Convert to fraction form
    200,906/432,892 = 432,892/x
  3. Step 3: Cross multiply
    200,906x = 432,892 × 432,892
  4. Step 4: Simplify right side
    200,906x = 187,395,483,664
  5. Step 5: Solve for x
    x = 187,395,483,664/200,906
  6. Step 6: Final answer
    x = 932,752.05

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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.