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Finding the Third Proportional to 202,434 and 432,891

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Solution

The third proportional to 202,434 and 432,891 is: 925,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,434 : 432,891 = 432,891 : x
  2. Step 2: Convert to fraction form
    202,434/432,891 = 432,891/x
  3. Step 3: Cross multiply
    202,434x = 432,891 × 432,891
  4. Step 4: Simplify right side
    202,434x = 187,394,617,881
  5. Step 5: Solve for x
    x = 187,394,617,881/202,434
  6. Step 6: Final answer
    x = 925,707.23

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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.