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Finding the Third Proportional to 280,147.50 and 599,661

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Solution

The third proportional to 280,147.50 and 599,661 is: 1,283,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,147.50 : 599,661 = 599,661 : x
  2. Step 2: Convert to fraction form
    280,147.50/599,661 = 599,661/x
  3. Step 3: Cross multiply
    280,147.50x = 599,661 × 599,661
  4. Step 4: Simplify right side
    280,147.50x = 359,593,314,921
  5. Step 5: Solve for x
    x = 359,593,314,921/280,147.50
  6. Step 6: Final answer
    x = 1,283,585.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.