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Finding the Third Proportional to 383,859 and 581,073.75

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Solution

The third proportional to 383,859 and 581,073.75 is: 879,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,859 : 581,073.75 = 581,073.75 : x
  2. Step 2: Convert to fraction form
    383,859/581,073.75 = 581,073.75/x
  3. Step 3: Cross multiply
    383,859x = 581,073.75 × 581,073.75
  4. Step 4: Simplify right side
    383,859x = 337,646,702,939.06
  5. Step 5: Solve for x
    x = 337,646,702,939.06/383,859
  6. Step 6: Final answer
    x = 879,611.27

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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.