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Finding the Third Proportional to 352,525.50 and 775,035

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Solution

The third proportional to 352,525.50 and 775,035 is: 1,703,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,525.50 : 775,035 = 775,035 : x
  2. Step 2: Convert to fraction form
    352,525.50/775,035 = 775,035/x
  3. Step 3: Cross multiply
    352,525.50x = 775,035 × 775,035
  4. Step 4: Simplify right side
    352,525.50x = 600,679,251,225
  5. Step 5: Solve for x
    x = 600,679,251,225/352,525.50
  6. Step 6: Final answer
    x = 1,703,931.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.