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Finding the Third Proportional to 513,738 and 818,190

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Solution

The third proportional to 513,738 and 818,190 is: 1,303,066.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,738 : 818,190 = 818,190 : x
  2. Step 2: Convert to fraction form
    513,738/818,190 = 818,190/x
  3. Step 3: Cross multiply
    513,738x = 818,190 × 818,190
  4. Step 4: Simplify right side
    513,738x = 669,434,876,100
  5. Step 5: Solve for x
    x = 669,434,876,100/513,738
  6. Step 6: Final answer
    x = 1,303,066.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.