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Finding the Third Proportional to 332,004.75 and 711,352.50

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Solution

The third proportional to 332,004.75 and 711,352.50 is: 1,524,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,004.75 : 711,352.50 = 711,352.50 : x
  2. Step 2: Convert to fraction form
    332,004.75/711,352.50 = 711,352.50/x
  3. Step 3: Cross multiply
    332,004.75x = 711,352.50 × 711,352.50
  4. Step 4: Simplify right side
    332,004.75x = 506,022,379,256.25
  5. Step 5: Solve for x
    x = 506,022,379,256.25/332,004.75
  6. Step 6: Final answer
    x = 1,524,141.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.