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Finding the Third Proportional to 202,444 and 432,913

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Solution

The third proportional to 202,444 and 432,913 is: 925,755.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,444 : 432,913 = 432,913 : x
  2. Step 2: Convert to fraction form
    202,444/432,913 = 432,913/x
  3. Step 3: Cross multiply
    202,444x = 432,913 × 432,913
  4. Step 4: Simplify right side
    202,444x = 187,413,665,569
  5. Step 5: Solve for x
    x = 187,413,665,569/202,444
  6. Step 6: Final answer
    x = 925,755.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.