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Finding the Third Proportional to 241,264 and 515,752

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Solution

The third proportional to 241,264 and 515,752 is: 1,102,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,264 : 515,752 = 515,752 : x
  2. Step 2: Convert to fraction form
    241,264/515,752 = 515,752/x
  3. Step 3: Cross multiply
    241,264x = 515,752 × 515,752
  4. Step 4: Simplify right side
    241,264x = 266,000,125,504
  5. Step 5: Solve for x
    x = 266,000,125,504/241,264
  6. Step 6: Final answer
    x = 1,102,527.21

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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.