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Finding the Third Proportional to 424,004.63 and 476,902.69

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Solution

The third proportional to 424,004.63 and 476,902.69 is: 536,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,004.63 : 476,902.69 = 476,902.69 : x
  2. Step 2: Convert to fraction form
    424,004.63/476,902.69 = 476,902.69/x
  3. Step 3: Cross multiply
    424,004.63x = 476,902.69 × 476,902.69
  4. Step 4: Simplify right side
    424,004.63x = 227,436,173,344.72
  5. Step 5: Solve for x
    x = 227,436,173,344.72/424,004.63
  6. Step 6: Final answer
    x = 536,400.22

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.