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Finding the Third Proportional to 205,636.50 and 476,507.25

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Solution

The third proportional to 205,636.50 and 476,507.25 is: 1,104,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,636.50 : 476,507.25 = 476,507.25 : x
  2. Step 2: Convert to fraction form
    205,636.50/476,507.25 = 476,507.25/x
  3. Step 3: Cross multiply
    205,636.50x = 476,507.25 × 476,507.25
  4. Step 4: Simplify right side
    205,636.50x = 227,059,159,302.56
  5. Step 5: Solve for x
    x = 227,059,159,302.56/205,636.50
  6. Step 6: Final answer
    x = 1,104,177.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.