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Finding the Third Proportional to 313,469 and 470,961

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Solution

The third proportional to 313,469 and 470,961 is: 707,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,469 : 470,961 = 470,961 : x
  2. Step 2: Convert to fraction form
    313,469/470,961 = 470,961/x
  3. Step 3: Cross multiply
    313,469x = 470,961 × 470,961
  4. Step 4: Simplify right side
    313,469x = 221,804,263,521
  5. Step 5: Solve for x
    x = 221,804,263,521/313,469
  6. Step 6: Final answer
    x = 707,579.58

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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.