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Finding the Third Proportional to 313,467 and 470,958

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Solution

The third proportional to 313,467 and 470,958 is: 707,575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,467 : 470,958 = 470,958 : x
  2. Step 2: Convert to fraction form
    313,467/470,958 = 470,958/x
  3. Step 3: Cross multiply
    313,467x = 470,958 × 470,958
  4. Step 4: Simplify right side
    313,467x = 221,801,437,764
  5. Step 5: Solve for x
    x = 221,801,437,764/313,467
  6. Step 6: Final answer
    x = 707,575.08

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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.