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Finding the Third Proportional to 319,346 and 444,021

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Solution

The third proportional to 319,346 and 444,021 is: 617,370.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,346 : 444,021 = 444,021 : x
  2. Step 2: Convert to fraction form
    319,346/444,021 = 444,021/x
  3. Step 3: Cross multiply
    319,346x = 444,021 × 444,021
  4. Step 4: Simplify right side
    319,346x = 197,154,648,441
  5. Step 5: Solve for x
    x = 197,154,648,441/319,346
  6. Step 6: Final answer
    x = 617,370.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.