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Finding the Third Proportional to 202,877 and 433,894

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Solution

The third proportional to 202,877 and 433,894 is: 927,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,877 : 433,894 = 433,894 : x
  2. Step 2: Convert to fraction form
    202,877/433,894 = 433,894/x
  3. Step 3: Cross multiply
    202,877x = 433,894 × 433,894
  4. Step 4: Simplify right side
    202,877x = 188,264,003,236
  5. Step 5: Solve for x
    x = 188,264,003,236/202,877
  6. Step 6: Final answer
    x = 927,971.15

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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.