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Finding the Third Proportional to 202,458 and 432,941

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Solution

The third proportional to 202,458 and 432,941 is: 925,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,458 : 432,941 = 432,941 : x
  2. Step 2: Convert to fraction form
    202,458/432,941 = 432,941/x
  3. Step 3: Cross multiply
    202,458x = 432,941 × 432,941
  4. Step 4: Simplify right side
    202,458x = 187,437,909,481
  5. Step 5: Solve for x
    x = 187,437,909,481/202,458
  6. Step 6: Final answer
    x = 925,811.33

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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.