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Finding the Third Proportional to 603,591.75 and 1,302,025.50

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Solution

The third proportional to 603,591.75 and 1,302,025.50 is: 2,808,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,591.75 : 1,302,025.50 = 1,302,025.50 : x
  2. Step 2: Convert to fraction form
    603,591.75/1,302,025.50 = 1,302,025.50/x
  3. Step 3: Cross multiply
    603,591.75x = 1,302,025.50 × 1,302,025.50
  4. Step 4: Simplify right side
    603,591.75x = 1,695,270,402,650.25
  5. Step 5: Solve for x
    x = 1,695,270,402,650.25/603,591.75
  6. Step 6: Final answer
    x = 2,808,637.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.