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Finding the Third Proportional to 254,694.38 and 553,614.75

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Solution

The third proportional to 254,694.38 and 553,614.75 is: 1,203,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,694.38 : 553,614.75 = 553,614.75 : x
  2. Step 2: Convert to fraction form
    254,694.38/553,614.75 = 553,614.75/x
  3. Step 3: Cross multiply
    254,694.38x = 553,614.75 × 553,614.75
  4. Step 4: Simplify right side
    254,694.38x = 306,489,291,417.56
  5. Step 5: Solve for x
    x = 306,489,291,417.56/254,694.38
  6. Step 6: Final answer
    x = 1,203,361.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.