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Finding the Third Proportional to 274,744.13 and 422,551.13

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Solution

The third proportional to 274,744.13 and 422,551.13 is: 649,875.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,744.13 : 422,551.13 = 422,551.13 : x
  2. Step 2: Convert to fraction form
    274,744.13/422,551.13 = 422,551.13/x
  3. Step 3: Cross multiply
    274,744.13x = 422,551.13 × 422,551.13
  4. Step 4: Simplify right side
    274,744.13x = 178,549,453,238.77
  5. Step 5: Solve for x
    x = 178,549,453,238.77/274,744.13
  6. Step 6: Final answer
    x = 649,875.42

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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.