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Finding the Third Proportional to 400,519.50 and 600,859

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Solution

The third proportional to 400,519.50 and 600,859 is: 901,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,519.50 : 600,859 = 600,859 : x
  2. Step 2: Convert to fraction form
    400,519.50/600,859 = 600,859/x
  3. Step 3: Cross multiply
    400,519.50x = 600,859 × 600,859
  4. Step 4: Simplify right side
    400,519.50x = 361,031,537,881
  5. Step 5: Solve for x
    x = 361,031,537,881/400,519.50
  6. Step 6: Final answer
    x = 901,408.14

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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.