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Finding the Third Proportional to 376,710.75 and 826,822.69

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Solution

The third proportional to 376,710.75 and 826,822.69 is: 1,814,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,710.75 : 826,822.69 = 826,822.69 : x
  2. Step 2: Convert to fraction form
    376,710.75/826,822.69 = 826,822.69/x
  3. Step 3: Cross multiply
    376,710.75x = 826,822.69 × 826,822.69
  4. Step 4: Simplify right side
    376,710.75x = 683,635,756,564.72
  5. Step 5: Solve for x
    x = 683,635,756,564.72/376,710.75
  6. Step 6: Final answer
    x = 1,814,749.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.