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Finding the Third Proportional to 313,568.25 and 462,971.25

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Solution

The third proportional to 313,568.25 and 462,971.25 is: 683,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,568.25 : 462,971.25 = 462,971.25 : x
  2. Step 2: Convert to fraction form
    313,568.25/462,971.25 = 462,971.25/x
  3. Step 3: Cross multiply
    313,568.25x = 462,971.25 × 462,971.25
  4. Step 4: Simplify right side
    313,568.25x = 214,342,378,326.56
  5. Step 5: Solve for x
    x = 214,342,378,326.56/313,568.25
  6. Step 6: Final answer
    x = 683,558.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.