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Finding the Third Proportional to 270,955.13 and 558,311.06

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Solution

The third proportional to 270,955.13 and 558,311.06 is: 1,150,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,955.13 : 558,311.06 = 558,311.06 : x
  2. Step 2: Convert to fraction form
    270,955.13/558,311.06 = 558,311.06/x
  3. Step 3: Cross multiply
    270,955.13x = 558,311.06 × 558,311.06
  4. Step 4: Simplify right side
    270,955.13x = 311,711,242,509.88
  5. Step 5: Solve for x
    x = 311,711,242,509.88/270,955.13
  6. Step 6: Final answer
    x = 1,150,416.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.