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Finding the Third Proportional to 313,566.75 and 462,969

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Solution

The third proportional to 313,566.75 and 462,969 is: 683,555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,566.75 : 462,969 = 462,969 : x
  2. Step 2: Convert to fraction form
    313,566.75/462,969 = 462,969/x
  3. Step 3: Cross multiply
    313,566.75x = 462,969 × 462,969
  4. Step 4: Simplify right side
    313,566.75x = 214,340,294,961
  5. Step 5: Solve for x
    x = 214,340,294,961/313,566.75
  6. Step 6: Final answer
    x = 683,555.56

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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.