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Finding the Third Proportional to 248,497 and 536,339

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Solution

The third proportional to 248,497 and 536,339 is: 1,157,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,497 : 536,339 = 536,339 : x
  2. Step 2: Convert to fraction form
    248,497/536,339 = 536,339/x
  3. Step 3: Cross multiply
    248,497x = 536,339 × 536,339
  4. Step 4: Simplify right side
    248,497x = 287,659,522,921
  5. Step 5: Solve for x
    x = 287,659,522,921/248,497
  6. Step 6: Final answer
    x = 1,157,597.57

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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.