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Finding the Third Proportional to 403,469 and 606,945

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Solution

The third proportional to 403,469 and 606,945 is: 913,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,469 : 606,945 = 606,945 : x
  2. Step 2: Convert to fraction form
    403,469/606,945 = 606,945/x
  3. Step 3: Cross multiply
    403,469x = 606,945 × 606,945
  4. Step 4: Simplify right side
    403,469x = 368,382,233,025
  5. Step 5: Solve for x
    x = 368,382,233,025/403,469
  6. Step 6: Final answer
    x = 913,037.27

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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.