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Finding the Third Proportional to 280,735.50 and 608,762.25

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Solution

The third proportional to 280,735.50 and 608,762.25 is: 1,320,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,735.50 : 608,762.25 = 608,762.25 : x
  2. Step 2: Convert to fraction form
    280,735.50/608,762.25 = 608,762.25/x
  3. Step 3: Cross multiply
    280,735.50x = 608,762.25 × 608,762.25
  4. Step 4: Simplify right side
    280,735.50x = 370,591,477,025.06
  5. Step 5: Solve for x
    x = 370,591,477,025.06/280,735.50
  6. Step 6: Final answer
    x = 1,320,073.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.