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Finding the Third Proportional to 313,600 and 471,106

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Solution

The third proportional to 313,600 and 471,106 is: 707,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,600 : 471,106 = 471,106 : x
  2. Step 2: Convert to fraction form
    313,600/471,106 = 471,106/x
  3. Step 3: Cross multiply
    313,600x = 471,106 × 471,106
  4. Step 4: Simplify right side
    313,600x = 221,940,863,236
  5. Step 5: Solve for x
    x = 221,940,863,236/313,600
  6. Step 6: Final answer
    x = 707,719.59

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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.