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Finding the Third Proportional to 363,576 and 777,696

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Solution

The third proportional to 363,576 and 777,696 is: 1,663,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,576 : 777,696 = 777,696 : x
  2. Step 2: Convert to fraction form
    363,576/777,696 = 777,696/x
  3. Step 3: Cross multiply
    363,576x = 777,696 × 777,696
  4. Step 4: Simplify right side
    363,576x = 604,811,068,416
  5. Step 5: Solve for x
    x = 604,811,068,416/363,576
  6. Step 6: Final answer
    x = 1,663,506.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.