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Finding the Third Proportional to 260,034.50 and 559,435

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Solution

The third proportional to 260,034.50 and 559,435 is: 1,203,561.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,034.50 : 559,435 = 559,435 : x
  2. Step 2: Convert to fraction form
    260,034.50/559,435 = 559,435/x
  3. Step 3: Cross multiply
    260,034.50x = 559,435 × 559,435
  4. Step 4: Simplify right side
    260,034.50x = 312,967,519,225
  5. Step 5: Solve for x
    x = 312,967,519,225/260,034.50
  6. Step 6: Final answer
    x = 1,203,561.52

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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.