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Finding the Third Proportional to 313,609 and 471,120

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Solution

The third proportional to 313,609 and 471,120 is: 707,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,609 : 471,120 = 471,120 : x
  2. Step 2: Convert to fraction form
    313,609/471,120 = 471,120/x
  3. Step 3: Cross multiply
    313,609x = 471,120 × 471,120
  4. Step 4: Simplify right side
    313,609x = 221,954,054,400
  5. Step 5: Solve for x
    x = 221,954,054,400/313,609
  6. Step 6: Final answer
    x = 707,741.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.