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Finding the Third Proportional to 377,918 and 829,555

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Solution

The third proportional to 377,918 and 829,555 is: 1,820,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,918 : 829,555 = 829,555 : x
  2. Step 2: Convert to fraction form
    377,918/829,555 = 829,555/x
  3. Step 3: Cross multiply
    377,918x = 829,555 × 829,555
  4. Step 4: Simplify right side
    377,918x = 688,161,498,025
  5. Step 5: Solve for x
    x = 688,161,498,025/377,918
  6. Step 6: Final answer
    x = 1,820,928.08

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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.