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Finding the Third Proportional to 513,696 and 818,112

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Solution

The third proportional to 513,696 and 818,112 is: 1,302,924.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,696 : 818,112 = 818,112 : x
  2. Step 2: Convert to fraction form
    513,696/818,112 = 818,112/x
  3. Step 3: Cross multiply
    513,696x = 818,112 × 818,112
  4. Step 4: Simplify right side
    513,696x = 669,307,244,544
  5. Step 5: Solve for x
    x = 669,307,244,544/513,696
  6. Step 6: Final answer
    x = 1,302,924.77

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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.