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Finding the Third Proportional to 314,447 and 444,516

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Solution

The third proportional to 314,447 and 444,516 is: 628,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,447 : 444,516 = 444,516 : x
  2. Step 2: Convert to fraction form
    314,447/444,516 = 444,516/x
  3. Step 3: Cross multiply
    314,447x = 444,516 × 444,516
  4. Step 4: Simplify right side
    314,447x = 197,594,474,256
  5. Step 5: Solve for x
    x = 197,594,474,256/314,447
  6. Step 6: Final answer
    x = 628,387.21

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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.