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Finding the Third Proportional to 247,644 and 533,196

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Solution

The third proportional to 247,644 and 533,196 is: 1,148,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,644 : 533,196 = 533,196 : x
  2. Step 2: Convert to fraction form
    247,644/533,196 = 533,196/x
  3. Step 3: Cross multiply
    247,644x = 533,196 × 533,196
  4. Step 4: Simplify right side
    247,644x = 284,297,974,416
  5. Step 5: Solve for x
    x = 284,297,974,416/247,644
  6. Step 6: Final answer
    x = 1,148,010.75

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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.