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Finding the Third Proportional to 435,764 and 594,085

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Solution

The third proportional to 435,764 and 594,085 is: 809,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,764 : 594,085 = 594,085 : x
  2. Step 2: Convert to fraction form
    435,764/594,085 = 594,085/x
  3. Step 3: Cross multiply
    435,764x = 594,085 × 594,085
  4. Step 4: Simplify right side
    435,764x = 352,936,987,225
  5. Step 5: Solve for x
    x = 352,936,987,225/435,764
  6. Step 6: Final answer
    x = 809,926.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.