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Finding the Third Proportional to 313,566 and 462,967

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Solution

The third proportional to 313,566 and 462,967 is: 683,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,566 : 462,967 = 462,967 : x
  2. Step 2: Convert to fraction form
    313,566/462,967 = 462,967/x
  3. Step 3: Cross multiply
    313,566x = 462,967 × 462,967
  4. Step 4: Simplify right side
    313,566x = 214,338,443,089
  5. Step 5: Solve for x
    x = 214,338,443,089/313,566
  6. Step 6: Final answer
    x = 683,551.29

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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.