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Finding the Third Proportional to 436,900 and 586,734

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Solution

The third proportional to 436,900 and 586,734 is: 787,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,900 : 586,734 = 586,734 : x
  2. Step 2: Convert to fraction form
    436,900/586,734 = 586,734/x
  3. Step 3: Cross multiply
    436,900x = 586,734 × 586,734
  4. Step 4: Simplify right side
    436,900x = 344,256,786,756
  5. Step 5: Solve for x
    x = 344,256,786,756/436,900
  6. Step 6: Final answer
    x = 787,953.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.