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Finding the Third Proportional to 199,603 and 432,897

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Solution

The third proportional to 199,603 and 432,897 is: 938,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,603 : 432,897 = 432,897 : x
  2. Step 2: Convert to fraction form
    199,603/432,897 = 432,897/x
  3. Step 3: Cross multiply
    199,603x = 432,897 × 432,897
  4. Step 4: Simplify right side
    199,603x = 187,399,812,609
  5. Step 5: Solve for x
    x = 187,399,812,609/199,603
  6. Step 6: Final answer
    x = 938,862.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.