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Finding the Third Proportional to 260,388 and 566,885.25

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Solution

The third proportional to 260,388 and 566,885.25 is: 1,234,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,388 : 566,885.25 = 566,885.25 : x
  2. Step 2: Convert to fraction form
    260,388/566,885.25 = 566,885.25/x
  3. Step 3: Cross multiply
    260,388x = 566,885.25 × 566,885.25
  4. Step 4: Simplify right side
    260,388x = 321,358,886,667.56
  5. Step 5: Solve for x
    x = 321,358,886,667.56/260,388
  6. Step 6: Final answer
    x = 1,234,153.98

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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.