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Finding the Third Proportional to 241,241 and 514,543

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Solution

The third proportional to 241,241 and 514,543 is: 1,097,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,241 : 514,543 = 514,543 : x
  2. Step 2: Convert to fraction form
    241,241/514,543 = 514,543/x
  3. Step 3: Cross multiply
    241,241x = 514,543 × 514,543
  4. Step 4: Simplify right side
    241,241x = 264,754,498,849
  5. Step 5: Solve for x
    x = 264,754,498,849/241,241
  6. Step 6: Final answer
    x = 1,097,468.92

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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.