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Finding the Third Proportional to 437,911.50 and 665,091.75

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Solution

The third proportional to 437,911.50 and 665,091.75 is: 1,010,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,911.50 : 665,091.75 = 665,091.75 : x
  2. Step 2: Convert to fraction form
    437,911.50/665,091.75 = 665,091.75/x
  3. Step 3: Cross multiply
    437,911.50x = 665,091.75 × 665,091.75
  4. Step 4: Simplify right side
    437,911.50x = 442,347,035,918.06
  5. Step 5: Solve for x
    x = 442,347,035,918.06/437,911.50
  6. Step 6: Final answer
    x = 1,010,128.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.