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Finding the Third Proportional to 275,581.50 and 590,526

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Solution

The third proportional to 275,581.50 and 590,526 is: 1,265,400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,581.50 : 590,526 = 590,526 : x
  2. Step 2: Convert to fraction form
    275,581.50/590,526 = 590,526/x
  3. Step 3: Cross multiply
    275,581.50x = 590,526 × 590,526
  4. Step 4: Simplify right side
    275,581.50x = 348,720,956,676
  5. Step 5: Solve for x
    x = 348,720,956,676/275,581.50
  6. Step 6: Final answer
    x = 1,265,400.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.