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Finding the Third Proportional to 260,038.50 and 559,443

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Solution

The third proportional to 260,038.50 and 559,443 is: 1,203,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038.50 : 559,443 = 559,443 : x
  2. Step 2: Convert to fraction form
    260,038.50/559,443 = 559,443/x
  3. Step 3: Cross multiply
    260,038.50x = 559,443 × 559,443
  4. Step 4: Simplify right side
    260,038.50x = 312,976,470,249
  5. Step 5: Solve for x
    x = 312,976,470,249/260,038.50
  6. Step 6: Final answer
    x = 1,203,577.43

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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.