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Finding the Third Proportional to 333,200.75 and 719,590.75

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Solution

The third proportional to 333,200.75 and 719,590.75 is: 1,554,050.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,200.75 : 719,590.75 = 719,590.75 : x
  2. Step 2: Convert to fraction form
    333,200.75/719,590.75 = 719,590.75/x
  3. Step 3: Cross multiply
    333,200.75x = 719,590.75 × 719,590.75
  4. Step 4: Simplify right side
    333,200.75x = 517,810,847,485.56
  5. Step 5: Solve for x
    x = 517,810,847,485.56/333,200.75
  6. Step 6: Final answer
    x = 1,554,050.67

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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.