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Finding the Third Proportional to 313,570 and 462,974

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Solution

The third proportional to 313,570 and 462,974 is: 683,563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,570 : 462,974 = 462,974 : x
  2. Step 2: Convert to fraction form
    313,570/462,974 = 462,974/x
  3. Step 3: Cross multiply
    313,570x = 462,974 × 462,974
  4. Step 4: Simplify right side
    313,570x = 214,344,924,676
  5. Step 5: Solve for x
    x = 214,344,924,676/313,570
  6. Step 6: Final answer
    x = 683,563.24

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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.