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Finding the Third Proportional to 240,684 and 515,524

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Solution

The third proportional to 240,684 and 515,524 is: 1,104,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,684 : 515,524 = 515,524 : x
  2. Step 2: Convert to fraction form
    240,684/515,524 = 515,524/x
  3. Step 3: Cross multiply
    240,684x = 515,524 × 515,524
  4. Step 4: Simplify right side
    240,684x = 265,764,994,576
  5. Step 5: Solve for x
    x = 265,764,994,576/240,684
  6. Step 6: Final answer
    x = 1,104,207.15

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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.