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Finding the Third Proportional to 243,689 and 543,410

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Solution

The third proportional to 243,689 and 543,410 is: 1,211,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,689 : 543,410 = 543,410 : x
  2. Step 2: Convert to fraction form
    243,689/543,410 = 543,410/x
  3. Step 3: Cross multiply
    243,689x = 543,410 × 543,410
  4. Step 4: Simplify right side
    243,689x = 295,294,428,100
  5. Step 5: Solve for x
    x = 295,294,428,100/243,689
  6. Step 6: Final answer
    x = 1,211,767.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.