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Finding the Third Proportional to 260,813 and 553,611

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Solution

The third proportional to 260,813 and 553,611 is: 1,175,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,813 : 553,611 = 553,611 : x
  2. Step 2: Convert to fraction form
    260,813/553,611 = 553,611/x
  3. Step 3: Cross multiply
    260,813x = 553,611 × 553,611
  4. Step 4: Simplify right side
    260,813x = 306,485,139,321
  5. Step 5: Solve for x
    x = 306,485,139,321/260,813
  6. Step 6: Final answer
    x = 1,175,114.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.