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Finding the Third Proportional to 242,738 and 516,094

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Solution

The third proportional to 242,738 and 516,094 is: 1,097,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,738 : 516,094 = 516,094 : x
  2. Step 2: Convert to fraction form
    242,738/516,094 = 516,094/x
  3. Step 3: Cross multiply
    242,738x = 516,094 × 516,094
  4. Step 4: Simplify right side
    242,738x = 266,353,016,836
  5. Step 5: Solve for x
    x = 266,353,016,836/242,738
  6. Step 6: Final answer
    x = 1,097,286.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.