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Finding the Third Proportional to 241,600 and 516,444

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Solution

The third proportional to 241,600 and 516,444 is: 1,103,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,600 : 516,444 = 516,444 : x
  2. Step 2: Convert to fraction form
    241,600/516,444 = 516,444/x
  3. Step 3: Cross multiply
    241,600x = 516,444 × 516,444
  4. Step 4: Simplify right side
    241,600x = 266,714,405,136
  5. Step 5: Solve for x
    x = 266,714,405,136/241,600
  6. Step 6: Final answer
    x = 1,103,950.35

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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.