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Finding the Third Proportional to 241,573 and 514,331

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Solution

The third proportional to 241,573 and 514,331 is: 1,095,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,573 : 514,331 = 514,331 : x
  2. Step 2: Convert to fraction form
    241,573/514,331 = 514,331/x
  3. Step 3: Cross multiply
    241,573x = 514,331 × 514,331
  4. Step 4: Simplify right side
    241,573x = 264,536,377,561
  5. Step 5: Solve for x
    x = 264,536,377,561/241,573
  6. Step 6: Final answer
    x = 1,095,057.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.