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Finding the Third Proportional to 237,120.75 and 559,734.75

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Solution

The third proportional to 237,120.75 and 559,734.75 is: 1,321,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,120.75 : 559,734.75 = 559,734.75 : x
  2. Step 2: Convert to fraction form
    237,120.75/559,734.75 = 559,734.75/x
  3. Step 3: Cross multiply
    237,120.75x = 559,734.75 × 559,734.75
  4. Step 4: Simplify right side
    237,120.75x = 313,302,990,357.56
  5. Step 5: Solve for x
    x = 313,302,990,357.56/237,120.75
  6. Step 6: Final answer
    x = 1,321,280.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.