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Finding the Third Proportional to 260,341 and 541,417

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Solution

The third proportional to 260,341 and 541,417 is: 1,125,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,341 : 541,417 = 541,417 : x
  2. Step 2: Convert to fraction form
    260,341/541,417 = 541,417/x
  3. Step 3: Cross multiply
    260,341x = 541,417 × 541,417
  4. Step 4: Simplify right side
    260,341x = 293,132,367,889
  5. Step 5: Solve for x
    x = 293,132,367,889/260,341
  6. Step 6: Final answer
    x = 1,125,955.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.