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Finding the Third Proportional to 248,435 and 536,213

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Solution

The third proportional to 248,435 and 536,213 is: 1,157,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,435 : 536,213 = 536,213 : x
  2. Step 2: Convert to fraction form
    248,435/536,213 = 536,213/x
  3. Step 3: Cross multiply
    248,435x = 536,213 × 536,213
  4. Step 4: Simplify right side
    248,435x = 287,524,381,369
  5. Step 5: Solve for x
    x = 287,524,381,369/248,435
  6. Step 6: Final answer
    x = 1,157,342.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.