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Finding the Third Proportional to 313,362 and 470,742

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Solution

The third proportional to 313,362 and 470,742 is: 707,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,362 : 470,742 = 470,742 : x
  2. Step 2: Convert to fraction form
    313,362/470,742 = 470,742/x
  3. Step 3: Cross multiply
    313,362x = 470,742 × 470,742
  4. Step 4: Simplify right side
    313,362x = 221,598,030,564
  5. Step 5: Solve for x
    x = 221,598,030,564/313,362
  6. Step 6: Final answer
    x = 707,163.06

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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.