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Finding the Third Proportional to 377,907 and 829,533

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Solution

The third proportional to 377,907 and 829,533 is: 1,820,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,907 : 829,533 = 829,533 : x
  2. Step 2: Convert to fraction form
    377,907/829,533 = 829,533/x
  3. Step 3: Cross multiply
    377,907x = 829,533 × 829,533
  4. Step 4: Simplify right side
    377,907x = 688,124,998,089
  5. Step 5: Solve for x
    x = 688,124,998,089/377,907
  6. Step 6: Final answer
    x = 1,820,884.50

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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.