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Finding the Third Proportional to 377,598 and 820,932

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Solution

The third proportional to 377,598 and 820,932 is: 1,784,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,598 : 820,932 = 820,932 : x
  2. Step 2: Convert to fraction form
    377,598/820,932 = 820,932/x
  3. Step 3: Cross multiply
    377,598x = 820,932 × 820,932
  4. Step 4: Simplify right side
    377,598x = 673,929,348,624
  5. Step 5: Solve for x
    x = 673,929,348,624/377,598
  6. Step 6: Final answer
    x = 1,784,779.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.