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Finding the Third Proportional to 199,544 and 430,741

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Solution

The third proportional to 199,544 and 430,741 is: 929,809.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,544 : 430,741 = 430,741 : x
  2. Step 2: Convert to fraction form
    199,544/430,741 = 430,741/x
  3. Step 3: Cross multiply
    199,544x = 430,741 × 430,741
  4. Step 4: Simplify right side
    199,544x = 185,537,809,081
  5. Step 5: Solve for x
    x = 185,537,809,081/199,544
  6. Step 6: Final answer
    x = 929,809.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.