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Finding the Third Proportional to 241,257 and 515,742

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Solution

The third proportional to 241,257 and 515,742 is: 1,102,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,257 : 515,742 = 515,742 : x
  2. Step 2: Convert to fraction form
    241,257/515,742 = 515,742/x
  3. Step 3: Cross multiply
    241,257x = 515,742 × 515,742
  4. Step 4: Simplify right side
    241,257x = 265,989,810,564
  5. Step 5: Solve for x
    x = 265,989,810,564/241,257
  6. Step 6: Final answer
    x = 1,102,516.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.