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Finding the Third Proportional to 520,049 and 730,198

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Solution

The third proportional to 520,049 and 730,198 is: 1,025,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,049 : 730,198 = 730,198 : x
  2. Step 2: Convert to fraction form
    520,049/730,198 = 730,198/x
  3. Step 3: Cross multiply
    520,049x = 730,198 × 730,198
  4. Step 4: Simplify right side
    520,049x = 533,189,119,204
  5. Step 5: Solve for x
    x = 533,189,119,204/520,049
  6. Step 6: Final answer
    x = 1,025,267.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.