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Finding the Third Proportional to 347,041 and 524,935

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Solution

The third proportional to 347,041 and 524,935 is: 794,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,041 : 524,935 = 524,935 : x
  2. Step 2: Convert to fraction form
    347,041/524,935 = 524,935/x
  3. Step 3: Cross multiply
    347,041x = 524,935 × 524,935
  4. Step 4: Simplify right side
    347,041x = 275,556,754,225
  5. Step 5: Solve for x
    x = 275,556,754,225/347,041
  6. Step 6: Final answer
    x = 794,017.87

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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.