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Finding the Third Proportional to 378,756 and 810,712

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Solution

The third proportional to 378,756 and 810,712 is: 1,735,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,756 : 810,712 = 810,712 : x
  2. Step 2: Convert to fraction form
    378,756/810,712 = 810,712/x
  3. Step 3: Cross multiply
    378,756x = 810,712 × 810,712
  4. Step 4: Simplify right side
    378,756x = 657,253,946,944
  5. Step 5: Solve for x
    x = 657,253,946,944/378,756
  6. Step 6: Final answer
    x = 1,735,296.46

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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.