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Finding the Third Proportional to 260,296.50 and 566,763

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Solution

The third proportional to 260,296.50 and 566,763 is: 1,234,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,296.50 : 566,763 = 566,763 : x
  2. Step 2: Convert to fraction form
    260,296.50/566,763 = 566,763/x
  3. Step 3: Cross multiply
    260,296.50x = 566,763 × 566,763
  4. Step 4: Simplify right side
    260,296.50x = 321,220,298,169
  5. Step 5: Solve for x
    x = 321,220,298,169/260,296.50
  6. Step 6: Final answer
    x = 1,234,055.39

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Why These Related Problems?

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