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Finding the Third Proportional to 314,069 and 472,832

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Solution

The third proportional to 314,069 and 472,832 is: 711,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,069 : 472,832 = 472,832 : x
  2. Step 2: Convert to fraction form
    314,069/472,832 = 472,832/x
  3. Step 3: Cross multiply
    314,069x = 472,832 × 472,832
  4. Step 4: Simplify right side
    314,069x = 223,570,100,224
  5. Step 5: Solve for x
    x = 223,570,100,224/314,069
  6. Step 6: Final answer
    x = 711,850.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.