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Finding the Third Proportional to 314,410 and 444,455

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Solution

The third proportional to 314,410 and 444,455 is: 628,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,410 : 444,455 = 444,455 : x
  2. Step 2: Convert to fraction form
    314,410/444,455 = 444,455/x
  3. Step 3: Cross multiply
    314,410x = 444,455 × 444,455
  4. Step 4: Simplify right side
    314,410x = 197,540,247,025
  5. Step 5: Solve for x
    x = 197,540,247,025/314,410
  6. Step 6: Final answer
    x = 628,288.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.