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Finding the Third Proportional to 358,735.50 and 531,177

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Solution

The third proportional to 358,735.50 and 531,177 is: 786,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,735.50 : 531,177 = 531,177 : x
  2. Step 2: Convert to fraction form
    358,735.50/531,177 = 531,177/x
  3. Step 3: Cross multiply
    358,735.50x = 531,177 × 531,177
  4. Step 4: Simplify right side
    358,735.50x = 282,149,005,329
  5. Step 5: Solve for x
    x = 282,149,005,329/358,735.50
  6. Step 6: Final answer
    x = 786,509.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.