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Finding the Third Proportional to 339,095.25 and 461,792.25

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Solution

The third proportional to 339,095.25 and 461,792.25 is: 628,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,095.25 : 461,792.25 = 461,792.25 : x
  2. Step 2: Convert to fraction form
    339,095.25/461,792.25 = 461,792.25/x
  3. Step 3: Cross multiply
    339,095.25x = 461,792.25 × 461,792.25
  4. Step 4: Simplify right side
    339,095.25x = 213,252,082,160.06
  5. Step 5: Solve for x
    x = 213,252,082,160.06/339,095.25
  6. Step 6: Final answer
    x = 628,885.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.