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Finding the Third Proportional to 435,766 and 594,088

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Solution

The third proportional to 435,766 and 594,088 is: 809,931.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,766 : 594,088 = 594,088 : x
  2. Step 2: Convert to fraction form
    435,766/594,088 = 594,088/x
  3. Step 3: Cross multiply
    435,766x = 594,088 × 594,088
  4. Step 4: Simplify right side
    435,766x = 352,940,551,744
  5. Step 5: Solve for x
    x = 352,940,551,744/435,766
  6. Step 6: Final answer
    x = 809,931.37

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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.