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Finding the Third Proportional to 313,568 and 462,970

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Solution

The third proportional to 313,568 and 462,970 is: 683,555.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,568 : 462,970 = 462,970 : x
  2. Step 2: Convert to fraction form
    313,568/462,970 = 462,970/x
  3. Step 3: Cross multiply
    313,568x = 462,970 × 462,970
  4. Step 4: Simplify right side
    313,568x = 214,341,220,900
  5. Step 5: Solve for x
    x = 214,341,220,900/313,568
  6. Step 6: Final answer
    x = 683,555.79

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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.