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Finding the Third Proportional to 262,414 and 543,498

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Solution

The third proportional to 262,414 and 543,498 is: 1,125,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,414 : 543,498 = 543,498 : x
  2. Step 2: Convert to fraction form
    262,414/543,498 = 543,498/x
  3. Step 3: Cross multiply
    262,414x = 543,498 × 543,498
  4. Step 4: Simplify right side
    262,414x = 295,390,076,004
  5. Step 5: Solve for x
    x = 295,390,076,004/262,414
  6. Step 6: Final answer
    x = 1,125,664.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.