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Finding the Third Proportional to 202,435 and 432,901

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Solution

The third proportional to 202,435 and 432,901 is: 925,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,435 : 432,901 = 432,901 : x
  2. Step 2: Convert to fraction form
    202,435/432,901 = 432,901/x
  3. Step 3: Cross multiply
    202,435x = 432,901 × 432,901
  4. Step 4: Simplify right side
    202,435x = 187,403,275,801
  5. Step 5: Solve for x
    x = 187,403,275,801/202,435
  6. Step 6: Final answer
    x = 925,745.43

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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.