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Finding the Third Proportional to 200,576 and 413,862

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Solution

The third proportional to 200,576 and 413,862 is: 853,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,576 : 413,862 = 413,862 : x
  2. Step 2: Convert to fraction form
    200,576/413,862 = 413,862/x
  3. Step 3: Cross multiply
    200,576x = 413,862 × 413,862
  4. Step 4: Simplify right side
    200,576x = 171,281,755,044
  5. Step 5: Solve for x
    x = 171,281,755,044/200,576
  6. Step 6: Final answer
    x = 853,949.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.