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Finding the Third Proportional to 376,566 and 829,520

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Solution

The third proportional to 376,566 and 829,520 is: 1,827,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,566 : 829,520 = 829,520 : x
  2. Step 2: Convert to fraction form
    376,566/829,520 = 829,520/x
  3. Step 3: Cross multiply
    376,566x = 829,520 × 829,520
  4. Step 4: Simplify right side
    376,566x = 688,103,430,400
  5. Step 5: Solve for x
    x = 688,103,430,400/376,566
  6. Step 6: Final answer
    x = 1,827,311.63

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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.