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Finding the Third Proportional to 685,935.50 and 1,477,225

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Solution

The third proportional to 685,935.50 and 1,477,225 is: 3,181,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,935.50 : 1,477,225 = 1,477,225 : x
  2. Step 2: Convert to fraction form
    685,935.50/1,477,225 = 1,477,225/x
  3. Step 3: Cross multiply
    685,935.50x = 1,477,225 × 1,477,225
  4. Step 4: Simplify right side
    685,935.50x = 2,182,193,700,625
  5. Step 5: Solve for x
    x = 2,182,193,700,625/685,935.50
  6. Step 6: Final answer
    x = 3,181,339.50

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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.