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Finding the Third Proportional to 428,518.50 and 818,157

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Solution

The third proportional to 428,518.50 and 818,157 is: 1,562,081.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,518.50 : 818,157 = 818,157 : x
  2. Step 2: Convert to fraction form
    428,518.50/818,157 = 818,157/x
  3. Step 3: Cross multiply
    428,518.50x = 818,157 × 818,157
  4. Step 4: Simplify right side
    428,518.50x = 669,380,876,649
  5. Step 5: Solve for x
    x = 669,380,876,649/428,518.50
  6. Step 6: Final answer
    x = 1,562,081.63

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.