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Finding the Third Proportional to 260,035.50 and 567,926

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Solution

The third proportional to 260,035.50 and 567,926 is: 1,240,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,035.50 : 567,926 = 567,926 : x
  2. Step 2: Convert to fraction form
    260,035.50/567,926 = 567,926/x
  3. Step 3: Cross multiply
    260,035.50x = 567,926 × 567,926
  4. Step 4: Simplify right side
    260,035.50x = 322,539,941,476
  5. Step 5: Solve for x
    x = 322,539,941,476/260,035.50
  6. Step 6: Final answer
    x = 1,240,368.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.