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Finding the Third Proportional to 307,752 and 694,524

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Solution

The third proportional to 307,752 and 694,524 is: 1,567,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,752 : 694,524 = 694,524 : x
  2. Step 2: Convert to fraction form
    307,752/694,524 = 694,524/x
  3. Step 3: Cross multiply
    307,752x = 694,524 × 694,524
  4. Step 4: Simplify right side
    307,752x = 482,363,586,576
  5. Step 5: Solve for x
    x = 482,363,586,576/307,752
  6. Step 6: Final answer
    x = 1,567,377.59

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.