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Finding the Third Proportional to 241,134 and 541,572

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Solution

The third proportional to 241,134 and 541,572 is: 1,216,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,134 : 541,572 = 541,572 : x
  2. Step 2: Convert to fraction form
    241,134/541,572 = 541,572/x
  3. Step 3: Cross multiply
    241,134x = 541,572 × 541,572
  4. Step 4: Simplify right side
    241,134x = 293,300,231,184
  5. Step 5: Solve for x
    x = 293,300,231,184/241,134
  6. Step 6: Final answer
    x = 1,216,337.10

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.