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Finding the Third Proportional to 376,028 and 826,468

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Solution

The third proportional to 376,028 and 826,468 is: 1,816,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,028 : 826,468 = 826,468 : x
  2. Step 2: Convert to fraction form
    376,028/826,468 = 826,468/x
  3. Step 3: Cross multiply
    376,028x = 826,468 × 826,468
  4. Step 4: Simplify right side
    376,028x = 683,049,355,024
  5. Step 5: Solve for x
    x = 683,049,355,024/376,028
  6. Step 6: Final answer
    x = 1,816,485.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.