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Finding the Third Proportional to 291,554.44 and 476,082.56

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Solution

The third proportional to 291,554.44 and 476,082.56 is: 777,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,554.44 : 476,082.56 = 476,082.56 : x
  2. Step 2: Convert to fraction form
    291,554.44/476,082.56 = 476,082.56/x
  3. Step 3: Cross multiply
    291,554.44x = 476,082.56 × 476,082.56
  4. Step 4: Simplify right side
    291,554.44x = 226,654,606,316.57
  5. Step 5: Solve for x
    x = 226,654,606,316.57/291,554.44
  6. Step 6: Final answer
    x = 777,400.64

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.