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Finding the Third Proportional to 361,130 and 777,756

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Solution

The third proportional to 361,130 and 777,756 is: 1,675,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,130 : 777,756 = 777,756 : x
  2. Step 2: Convert to fraction form
    361,130/777,756 = 777,756/x
  3. Step 3: Cross multiply
    361,130x = 777,756 × 777,756
  4. Step 4: Simplify right side
    361,130x = 604,904,395,536
  5. Step 5: Solve for x
    x = 604,904,395,536/361,130
  6. Step 6: Final answer
    x = 1,675,032.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.