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Finding the Third Proportional to 313,282 and 470,019

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Solution

The third proportional to 313,282 and 470,019 is: 705,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,282 : 470,019 = 470,019 : x
  2. Step 2: Convert to fraction form
    313,282/470,019 = 470,019/x
  3. Step 3: Cross multiply
    313,282x = 470,019 × 470,019
  4. Step 4: Simplify right side
    313,282x = 220,917,860,361
  5. Step 5: Solve for x
    x = 220,917,860,361/313,282
  6. Step 6: Final answer
    x = 705,172.53

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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.