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Finding the Third Proportional to 376,563.94 and 829,515.94

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Solution

The third proportional to 376,563.94 and 829,515.94 is: 1,827,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,563.94 : 829,515.94 = 829,515.94 : x
  2. Step 2: Convert to fraction form
    376,563.94/829,515.94 = 829,515.94/x
  3. Step 3: Cross multiply
    376,563.94x = 829,515.94 × 829,515.94
  4. Step 4: Simplify right side
    376,563.94x = 688,096,690,566.50
  5. Step 5: Solve for x
    x = 688,096,690,566.50/376,563.94
  6. Step 6: Final answer
    x = 1,827,303.74

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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.