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Finding the Third Proportional to 314,395 and 444,437

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Solution

The third proportional to 314,395 and 444,437 is: 628,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,395 : 444,437 = 444,437 : x
  2. Step 2: Convert to fraction form
    314,395/444,437 = 444,437/x
  3. Step 3: Cross multiply
    314,395x = 444,437 × 444,437
  4. Step 4: Simplify right side
    314,395x = 197,524,246,969
  5. Step 5: Solve for x
    x = 197,524,246,969/314,395
  6. Step 6: Final answer
    x = 628,267.77

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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.