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Finding the Third Proportional to 344,974 and 475,037

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Solution

The third proportional to 344,974 and 475,037 is: 654,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,974 : 475,037 = 475,037 : x
  2. Step 2: Convert to fraction form
    344,974/475,037 = 475,037/x
  3. Step 3: Cross multiply
    344,974x = 475,037 × 475,037
  4. Step 4: Simplify right side
    344,974x = 225,660,151,369
  5. Step 5: Solve for x
    x = 225,660,151,369/344,974
  6. Step 6: Final answer
    x = 654,136.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.