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Finding the Third Proportional to 202,569 and 436,536.75

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Solution

The third proportional to 202,569 and 436,536.75 is: 940,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,569 : 436,536.75 = 436,536.75 : x
  2. Step 2: Convert to fraction form
    202,569/436,536.75 = 436,536.75/x
  3. Step 3: Cross multiply
    202,569x = 436,536.75 × 436,536.75
  4. Step 4: Simplify right side
    202,569x = 190,564,334,100.56
  5. Step 5: Solve for x
    x = 190,564,334,100.56/202,569
  6. Step 6: Final answer
    x = 940,737.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.