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Finding the Third Proportional to 248,098 and 543,477

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Solution

The third proportional to 248,098 and 543,477 is: 1,190,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,098 : 543,477 = 543,477 : x
  2. Step 2: Convert to fraction form
    248,098/543,477 = 543,477/x
  3. Step 3: Cross multiply
    248,098x = 543,477 × 543,477
  4. Step 4: Simplify right side
    248,098x = 295,367,249,529
  5. Step 5: Solve for x
    x = 295,367,249,529/248,098
  6. Step 6: Final answer
    x = 1,190,526.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.