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Finding the Third Proportional to 475,627.50 and 736,149

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Solution

The third proportional to 475,627.50 and 736,149 is: 1,139,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,627.50 : 736,149 = 736,149 : x
  2. Step 2: Convert to fraction form
    475,627.50/736,149 = 736,149/x
  3. Step 3: Cross multiply
    475,627.50x = 736,149 × 736,149
  4. Step 4: Simplify right side
    475,627.50x = 541,915,350,201
  5. Step 5: Solve for x
    x = 541,915,350,201/475,627.50
  6. Step 6: Final answer
    x = 1,139,369.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.