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Finding the Third Proportional to 260,049 and 386,104.50

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Solution

The third proportional to 260,049 and 386,104.50 is: 573,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,049 : 386,104.50 = 386,104.50 : x
  2. Step 2: Convert to fraction form
    260,049/386,104.50 = 386,104.50/x
  3. Step 3: Cross multiply
    260,049x = 386,104.50 × 386,104.50
  4. Step 4: Simplify right side
    260,049x = 149,076,684,920.25
  5. Step 5: Solve for x
    x = 149,076,684,920.25/260,049
  6. Step 6: Final answer
    x = 573,263.83

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.