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Finding the Third Proportional to 202,833 and 433,806

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Solution

The third proportional to 202,833 and 433,806 is: 927,796.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,833 : 433,806 = 433,806 : x
  2. Step 2: Convert to fraction form
    202,833/433,806 = 433,806/x
  3. Step 3: Cross multiply
    202,833x = 433,806 × 433,806
  4. Step 4: Simplify right side
    202,833x = 188,187,645,636
  5. Step 5: Solve for x
    x = 188,187,645,636/202,833
  6. Step 6: Final answer
    x = 927,796.00

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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.