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Finding the Third Proportional to 631,322 and 850,591

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Solution

The third proportional to 631,322 and 850,591 is: 1,146,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,322 : 850,591 = 850,591 : x
  2. Step 2: Convert to fraction form
    631,322/850,591 = 850,591/x
  3. Step 3: Cross multiply
    631,322x = 850,591 × 850,591
  4. Step 4: Simplify right side
    631,322x = 723,505,049,281
  5. Step 5: Solve for x
    x = 723,505,049,281/631,322
  6. Step 6: Final answer
    x = 1,146,015.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.