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Finding the Third Proportional to 260,930.25 and 560,461.50

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Solution

The third proportional to 260,930.25 and 560,461.50 is: 1,203,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,930.25 : 560,461.50 = 560,461.50 : x
  2. Step 2: Convert to fraction form
    260,930.25/560,461.50 = 560,461.50/x
  3. Step 3: Cross multiply
    260,930.25x = 560,461.50 × 560,461.50
  4. Step 4: Simplify right side
    260,930.25x = 314,117,092,982.25
  5. Step 5: Solve for x
    x = 314,117,092,982.25/260,930.25
  6. Step 6: Final answer
    x = 1,203,835.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.