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Finding the Third Proportional to 383,580.70 and 575,370.98

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Solution

The third proportional to 383,580.70 and 575,370.98 is: 863,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,580.70 : 575,370.98 = 575,370.98 : x
  2. Step 2: Convert to fraction form
    383,580.70/575,370.98 = 575,370.98/x
  3. Step 3: Cross multiply
    383,580.70x = 575,370.98 × 575,370.98
  4. Step 4: Simplify right side
    383,580.70x = 331,051,769,660.66
  5. Step 5: Solve for x
    x = 331,051,769,660.66/383,580.70
  6. Step 6: Final answer
    x = 863,056.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.