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Finding the Third Proportional to 436,704 and 662,934

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Solution

The third proportional to 436,704 and 662,934 is: 1,006,360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,704 : 662,934 = 662,934 : x
  2. Step 2: Convert to fraction form
    436,704/662,934 = 662,934/x
  3. Step 3: Cross multiply
    436,704x = 662,934 × 662,934
  4. Step 4: Simplify right side
    436,704x = 439,481,488,356
  5. Step 5: Solve for x
    x = 439,481,488,356/436,704
  6. Step 6: Final answer
    x = 1,006,360.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.