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Finding the Third Proportional to 428,933.25 and 847,100.25

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Solution

The third proportional to 428,933.25 and 847,100.25 is: 1,672,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,933.25 : 847,100.25 = 847,100.25 : x
  2. Step 2: Convert to fraction form
    428,933.25/847,100.25 = 847,100.25/x
  3. Step 3: Cross multiply
    428,933.25x = 847,100.25 × 847,100.25
  4. Step 4: Simplify right side
    428,933.25x = 717,578,833,550.06
  5. Step 5: Solve for x
    x = 717,578,833,550.06/428,933.25
  6. Step 6: Final answer
    x = 1,672,938.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.