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Finding the Third Proportional to 244,460 and 541,410

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Solution

The third proportional to 244,460 and 541,410 is: 1,199,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,460 : 541,410 = 541,410 : x
  2. Step 2: Convert to fraction form
    244,460/541,410 = 541,410/x
  3. Step 3: Cross multiply
    244,460x = 541,410 × 541,410
  4. Step 4: Simplify right side
    244,460x = 293,124,788,100
  5. Step 5: Solve for x
    x = 293,124,788,100/244,460
  6. Step 6: Final answer
    x = 1,199,070.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.