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Finding the Third Proportional to 354,532.50 and 532,055.25

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Solution

The third proportional to 354,532.50 and 532,055.25 is: 798,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,532.50 : 532,055.25 = 532,055.25 : x
  2. Step 2: Convert to fraction form
    354,532.50/532,055.25 = 532,055.25/x
  3. Step 3: Cross multiply
    354,532.50x = 532,055.25 × 532,055.25
  4. Step 4: Simplify right side
    354,532.50x = 283,082,789,052.56
  5. Step 5: Solve for x
    x = 283,082,789,052.56/354,532.50
  6. Step 6: Final answer
    x = 798,467.81

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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.