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Finding the Third Proportional to 273,690 and 435,833

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Solution

The third proportional to 273,690 and 435,833 is: 694,034.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,690 : 435,833 = 435,833 : x
  2. Step 2: Convert to fraction form
    273,690/435,833 = 435,833/x
  3. Step 3: Cross multiply
    273,690x = 435,833 × 435,833
  4. Step 4: Simplify right side
    273,690x = 189,950,403,889
  5. Step 5: Solve for x
    x = 189,950,403,889/273,690
  6. Step 6: Final answer
    x = 694,034.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.