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Finding the Third Proportional to 273,732.75 and 435,890.25

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Solution

The third proportional to 273,732.75 and 435,890.25 is: 694,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,732.75 : 435,890.25 = 435,890.25 : x
  2. Step 2: Convert to fraction form
    273,732.75/435,890.25 = 435,890.25/x
  3. Step 3: Cross multiply
    273,732.75x = 435,890.25 × 435,890.25
  4. Step 4: Simplify right side
    273,732.75x = 190,000,310,045.06
  5. Step 5: Solve for x
    x = 190,000,310,045.06/273,732.75
  6. Step 6: Final answer
    x = 694,108.80

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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.