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Finding the Third Proportional to 241,264 and 514,592

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Solution

The third proportional to 241,264 and 514,592 is: 1,097,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,264 : 514,592 = 514,592 : x
  2. Step 2: Convert to fraction form
    241,264/514,592 = 514,592/x
  3. Step 3: Cross multiply
    241,264x = 514,592 × 514,592
  4. Step 4: Simplify right side
    241,264x = 264,804,926,464
  5. Step 5: Solve for x
    x = 264,804,926,464/241,264
  6. Step 6: Final answer
    x = 1,097,573.31

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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.