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Finding the Third Proportional to 312,199.50 and 736,740.75

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Solution

The third proportional to 312,199.50 and 736,740.75 is: 1,738,590.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,199.50 : 736,740.75 = 736,740.75 : x
  2. Step 2: Convert to fraction form
    312,199.50/736,740.75 = 736,740.75/x
  3. Step 3: Cross multiply
    312,199.50x = 736,740.75 × 736,740.75
  4. Step 4: Simplify right side
    312,199.50x = 542,786,932,710.56
  5. Step 5: Solve for x
    x = 542,786,932,710.56/312,199.50
  6. Step 6: Final answer
    x = 1,738,590.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.