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Finding the Third Proportional to 314,433 and 444,494.25

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Solution

The third proportional to 314,433 and 444,494.25 is: 628,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,433 : 444,494.25 = 444,494.25 : x
  2. Step 2: Convert to fraction form
    314,433/444,494.25 = 444,494.25/x
  3. Step 3: Cross multiply
    314,433x = 444,494.25 × 444,494.25
  4. Step 4: Simplify right side
    314,433x = 197,575,138,283.06
  5. Step 5: Solve for x
    x = 197,575,138,283.06/314,433
  6. Step 6: Final answer
    x = 628,353.70

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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.