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Finding the Third Proportional to 275,527.50 and 425,568

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Solution

The third proportional to 275,527.50 and 425,568 is: 657,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,527.50 : 425,568 = 425,568 : x
  2. Step 2: Convert to fraction form
    275,527.50/425,568 = 425,568/x
  3. Step 3: Cross multiply
    275,527.50x = 425,568 × 425,568
  4. Step 4: Simplify right side
    275,527.50x = 181,108,122,624
  5. Step 5: Solve for x
    x = 181,108,122,624/275,527.50
  6. Step 6: Final answer
    x = 657,314.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.