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Finding the Third Proportional to 242,958 and 523,167

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Solution

The third proportional to 242,958 and 523,167 is: 1,126,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,958 : 523,167 = 523,167 : x
  2. Step 2: Convert to fraction form
    242,958/523,167 = 523,167/x
  3. Step 3: Cross multiply
    242,958x = 523,167 × 523,167
  4. Step 4: Simplify right side
    242,958x = 273,703,709,889
  5. Step 5: Solve for x
    x = 273,703,709,889/242,958
  6. Step 6: Final answer
    x = 1,126,547.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.