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Finding the Third Proportional to 416,127 and 628,564.50

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Solution

The third proportional to 416,127 and 628,564.50 is: 949,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,127 : 628,564.50 = 628,564.50 : x
  2. Step 2: Convert to fraction form
    416,127/628,564.50 = 628,564.50/x
  3. Step 3: Cross multiply
    416,127x = 628,564.50 × 628,564.50
  4. Step 4: Simplify right side
    416,127x = 395,093,330,660.25
  5. Step 5: Solve for x
    x = 395,093,330,660.25/416,127
  6. Step 6: Final answer
    x = 949,453.73

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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.