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Finding the Third Proportional to 349,879.50 and 524,701.13

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Solution

The third proportional to 349,879.50 and 524,701.13 is: 786,874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,879.50 : 524,701.13 = 524,701.13 : x
  2. Step 2: Convert to fraction form
    349,879.50/524,701.13 = 524,701.13/x
  3. Step 3: Cross multiply
    349,879.50x = 524,701.13 × 524,701.13
  4. Step 4: Simplify right side
    349,879.50x = 275,311,270,576.27
  5. Step 5: Solve for x
    x = 275,311,270,576.27/349,879.50
  6. Step 6: Final answer
    x = 786,874.54

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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.