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Finding the Third Proportional to 260,532 and 541,800

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Solution

The third proportional to 260,532 and 541,800 is: 1,126,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,532 : 541,800 = 541,800 : x
  2. Step 2: Convert to fraction form
    260,532/541,800 = 541,800/x
  3. Step 3: Cross multiply
    260,532x = 541,800 × 541,800
  4. Step 4: Simplify right side
    260,532x = 293,547,240,000
  5. Step 5: Solve for x
    x = 293,547,240,000/260,532
  6. Step 6: Final answer
    x = 1,126,722.40

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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.