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Finding the Third Proportional to 384,651.28 and 837,029.53

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Solution

The third proportional to 384,651.28 and 837,029.53 is: 1,821,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,651.28 : 837,029.53 = 837,029.53 : x
  2. Step 2: Convert to fraction form
    384,651.28/837,029.53 = 837,029.53/x
  3. Step 3: Cross multiply
    384,651.28x = 837,029.53 × 837,029.53
  4. Step 4: Simplify right side
    384,651.28x = 700,618,436,184.60
  5. Step 5: Solve for x
    x = 700,618,436,184.60/384,651.28
  6. Step 6: Final answer
    x = 1,821,437.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.