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Finding the Third Proportional to 347,087.50 and 524,330

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Solution

The third proportional to 347,087.50 and 524,330 is: 792,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,087.50 : 524,330 = 524,330 : x
  2. Step 2: Convert to fraction form
    347,087.50/524,330 = 524,330/x
  3. Step 3: Cross multiply
    347,087.50x = 524,330 × 524,330
  4. Step 4: Simplify right side
    347,087.50x = 274,921,948,900
  5. Step 5: Solve for x
    x = 274,921,948,900/347,087.50
  6. Step 6: Final answer
    x = 792,082.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.