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Finding the Third Proportional to 332,434.50 and 734,851.50

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Solution

The third proportional to 332,434.50 and 734,851.50 is: 1,624,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,434.50 : 734,851.50 = 734,851.50 : x
  2. Step 2: Convert to fraction form
    332,434.50/734,851.50 = 734,851.50/x
  3. Step 3: Cross multiply
    332,434.50x = 734,851.50 × 734,851.50
  4. Step 4: Simplify right side
    332,434.50x = 540,006,727,052.25
  5. Step 5: Solve for x
    x = 540,006,727,052.25/332,434.50
  6. Step 6: Final answer
    x = 1,624,400.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.