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Finding the Third Proportional to 260,368.50 and 541,468.50

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Solution

The third proportional to 260,368.50 and 541,468.50 is: 1,126,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,368.50 : 541,468.50 = 541,468.50 : x
  2. Step 2: Convert to fraction form
    260,368.50/541,468.50 = 541,468.50/x
  3. Step 3: Cross multiply
    260,368.50x = 541,468.50 × 541,468.50
  4. Step 4: Simplify right side
    260,368.50x = 293,188,136,492.25
  5. Step 5: Solve for x
    x = 293,188,136,492.25/260,368.50
  6. Step 6: Final answer
    x = 1,126,050.72

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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.