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Finding the Third Proportional to 372,024 and 826,704

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Solution

The third proportional to 372,024 and 826,704 is: 1,837,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,024 : 826,704 = 826,704 : x
  2. Step 2: Convert to fraction form
    372,024/826,704 = 826,704/x
  3. Step 3: Cross multiply
    372,024x = 826,704 × 826,704
  4. Step 4: Simplify right side
    372,024x = 683,439,503,616
  5. Step 5: Solve for x
    x = 683,439,503,616/372,024
  6. Step 6: Final answer
    x = 1,837,084.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.